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Here is a list of all of the skills students learn in Grade 5. The skills are organized into categories, and
you can move your mouse over any skill name to see a sample question.

Number formats and Place value

 Example:  Add: 1)    6762)    6793)    7764)    779 Answer: 779 Example:  Add: 1)    1,9922)    1,9223)    1,2924)    1,229 Answer: 1,292 Example:  Add: Answer: 928 Example:  John went to a department store and bought a shoe that costs \$141 and a sports coat that costs \$250. How much total money (in \$) did he pay for both items? Answer: 381 Example:  Add: 1)    1,8072)    5,8073)    6,0074)    6,807 Answer: 6,807 Example:  Add 1)    7,7232)    7,8233)    7,8324)    8,823 Answer: 7,823 Example:  At a pop concert there were 3,468 people in section A, 2,895 people in section B and 4,637 people in section C. How many people in all were there to watch the concert? Answer: 11,000 Example:  Add: 1)    80,9992)    81,9993)    85,9994)    90,999 Answer: 80,999 Example:  Add: 1)    93,3352)    103,4453)    103,4354)    103,335 Answer: 103,335 Example:  Deposits of 3 members of a family in a savings bank account are \$23,000, \$50,500 and \$29,900 respectively. Find the total amount of deposits (in \$) of the family members. Answer: 103,400 Example:  Find the missing digit: 1)    22)    43)    54)    7 Answer: 2 Example:  4,005 + 4,005 ____ 2,005 + 6,005 1)    <2)    >3)    =4)    None of the above Answer: = Example:  Estimate the sum by first rounding off each number to the nearest thousand, and then adding 3,409 + 5,317 + 9,505 = -------. 1)    16,0002)    17,0003)    18,0004)    19,000 Answer: 18,000 Example:  A newspaper report states that the lengths of the major rivers Missouri, Mississippi and Ohio in United States are 2,540 miles, 2,340 miles and 1,310 miles respectively. If Eric wants to set a world record by rafting the entire length of all the 3 rivers, estimate the total length he would cover by first rounding off each length to the nearest hundred and then adding. 1)    6,0002)    6,1003)    6,2004)    6,300 Answer: 6,100

Subtraction
 Example:  Subtract: 1)    242)    253)    354)    52 Answer: 25 Example:  Subtract: 1)    772)    763)    674)    66 Answer: 67 Example: Robert went to a book store and bought a pen that costs \$32. If he gave the cashier \$50, how much money (in \$) should he get back from the cashier? Answer: \$18 Example: Subtract: 1)    2222)    3223)    4124)    423 Answer: 222 Example: Subtract: 1)    4832)    4823)    4814)    438 Answer: 482 Example: John was reading the book “Harry Potter and the Deathly Hallows” that has 759 pages. He read 378 pages on Friday and rest of the pages on Saturday. How many pages did he read on Saturday? Answer: 381 Example: Subtract: 1)    2002)    1,0003)    2,0004)    2,200 Answer: 2,000 Example: Subtract: 1)    3,1722)    3,1773)    3,2724)    3,227 Answer: 3,172 Example: A free medical camp was conducted by Florida Medical Board in Casselberry, Florida. 9,685 people participated in the camp, out of which 4,399 were males. Find the number of female participants in the camp. Answer: 5,286 Example: Find the missing digit: 1)    02)    13)    24)    3 Answer: 1 Example: How much more is 6,731 than 4,120? Answer: 2,611 Example: Estimate the following by first rounding off each number to the nearest thousand and then subtracting.6,342 - 1,044 Answer: 5,000 Example: Mr. Thomson is an Arts teacher. He has \$9,132 budgeted to buy supplies for his class. He used \$3,972 to buy some craft material. Estimate the amount of money left with him for his class supplies by rounding off the amounts to the nearest hundreds. 1)    \$4,1002)    \$4,2003)    \$5,1004)    \$5,200 Answer: \$5,100

Multiplication
 Example: Multiply 9 by 7.   1)    422)    543)    634)    72 Answer: 63 Example: Fill in the blanks: ___ X (178 X 25) = 0 Answer: 0 Example: Solve, 5 x 2 x 1 = ----. Answer: 10 Example: 9,833 x 1,000 = _________. 1)    983,3002)    9,833,0003)    9,833,1004)    98,331,000 Answer: 9,833,000 Example: Multiply: 350 x 200 1)    7,0002)    35,0003)    70,0004)    352,000 Answer: 70,000 Example: There are 8 boxes of pens each containing 6 pens.How many total pens are there in the eight boxes? Answer: 48 Example: The product of 213 and 13 is -----. 1)    2,7962)    2,7693)    2,7294)    2,679 Answer: 2,769 Example: Mr. Harris works part time in an animal farm. He earns an average of \$32 each day. If he works for 28 days in a month, how much money would he earn in a month? 1)    \$6962)    \$8663)    \$8964)    \$986 Answer: \$896 Example: Multiply: 135 x 246 1)    34,3102)    33,2103)    32,3104)    32,210 Answer: 33,210 Example: 76 x 5 x 2 = ------. 1)    6072)    6703)    7064)    760 Answer: 760 Example: Find the missing number: Product of 225 and __ is 2,700 Answer: 12 Example: Find the missing digit: 1)    32)    53)    84)    9 Answer: 8 Example: 224 garlands each with 125 flowers were used todecorate an auditorium for a wedding reception. Find the total number of flowers used for decorating the auditorium. Answer: 28,000 Example: Fill in the blanks: --- x 25 = 25 x 75 Answer: 75 Example: Which of the following shows the associative property of multiplication? 1)    4 x 1 = 1 x 42)    19 x 48 = (19 x 50) – (19 x 2)3)    4 x 25 = 5 x 5 x 44)    (11 x 4) x 25 = 11 x (4 x 25) Answer: (11 x 4) x 25 = 11 x (4 x 25) Example: Fill in the blanks:32 x 198 = 32 x ---- - 32 x 2 Answer: 200 Example: Cameron owns a small coffee shop in a mid westerncity in the US. Each day he sells around 17 gallons of coffee in the morning and 13 gallons in the afternoon. If he makes a profit of \$12 for each gallon of coffee he sells, how much profit does he make each day by selling coffee? Answer: \$360 Example: Estimate the following by first rounding off each number to the nearest ten then solving. 248 X 29 Answer: 250 x 30 = 7,500 Example: Austin is a motor bike dealer. He recently bought 22 Honda motor bikes for \$7,975 each. Which of the following is the best estimate for the total cost of 22 bikes? 1)    76,0002)    140,0003)    176,0004)    200,000 Answer: 176,000

Division

Mixed applications

Algebra

Number Theory

Fractions

Multiplication and Division of Fractions

Decimals
 Example: 100th part of 7 is written as, 1)    0.0072)    73)    0.74)    0.07 Answer: 0.07 Example: Which of the following shows the decimal number below in standard form? 'Two hundred eighty-four and five hundred thirty-two thousandths'. 1)    28.45322)    284.3523)    284.5324)    2845.32 Answer: 284.532 Example: Which of the following shows the number 120.11 in words? 1)    One hundred twenty and eleven2)    One hundred twenty and eleven tenths3)    One hundred twenty and eleven hundred4)    One hundred twenty and eleven hundredths Answer: One hundred twenty and eleven hundredths Example: Write the place value of 3 in 1.0613. Answer: 0.0003 Example: Answer: 6.425 Example: Which of the following shows the expanded form of the decimal 21.06? 1)    20 + 1 + 0.0062)    20 + 1 + 0.063)    20 + 1 + 0.64)    2,000 + 100 + 6 Answer: 20 + 1 + 0.06 Example: Round off the given number to two decimal places. 2.078 1)    2.0082)    2.073)    2.084)    2.1 Answer: 2.08 Example: Which of the following will be equal to 25 when rounded off to the nearest whole number? 1)    24.442)    24.373)    25.394)    25.96 Answer: 25.39 Example: Which of the following is correct? 1)    10.021 > 10.0122)    10.021 < 10.0123)    10.021 = 10.012 Answer: 10.021 > 10.012 Example: Write the decimals given below in order from the greatest to the smallest.1.01, 10.001, 1.001, 1.110, 1.101 1)    10.001, 1.110, 1.010, 1.1012)    10.001, 1.101, 1.110, 1.0103)    10.001, 1.101, 1.010, 1.1104)    10.001, 1.110, 1.101, 1.010 Answer: 10.001, 1.110, 1.101, 1.010 Example: Select the number which is greater than 3.014. 1)    3.012)    2.0323)    3.0044)    3.02 Answer: 3.02 Example: Write the following fraction as a decimal. 1)    0.2252)    2.2503)    2.504)    22.50 Answer: 2.250 Example: Write the following mixed number as a decimal. 1)    7.3252)    7.3503)    7.3754)    7.378 Answer: 7.375 Example: Which of the following option shows the given decimal as a fraction/mixed number in the simplest form?0.044 1) 2) 3) 4) Answer: Example: Add 1)    634.2222)    643.2223)    643.2424)    643.442 Answer: 643.222 Example: The Statue of Liberty is one of the most famous statues in the world and the most recognizable icon of the United States. The Statue of Liberty is 46.7 m tall. It stands on a 27.13 m high pedestal which sits atop an eleven-pointed star base of height 19.81 m. what is the total height of the Statue of Liberty with the pedestal and base? Answer: 93.64 m Example: Round off the following decimal numbers to one decimal place and then find the sum. 30.91 and 700.02 1)    7,3092)    730.83)    730.94)    730.0 Answer: 730.9 Example: 4 pipes of lengths 12.2 feet, 7.9 feet, 8.7 feet and 6.8 feet were joined in an underground pipe fitting. Which of the following is the best estimate for the total length of the 4 pipes? 1)    34 feet2)    36 feet3)    38 feet4)    40 feet Answer: 36 feet Example: Subtract 1)    148.7332)    149.5253)    149.2554)    149.265 Answer: 149.255 Example: Find the missing digit: 1.001 - 0.02 = 0._81 1)    82)    73)    14)    9 Answer: 9 Example: Brenda wants to visit a beach 5.45 miles away from her home. After driving 2.62 miles her car breaks down. How much more distance does she need to travel to reach her destination? 1)    2.23 miles2)    2.83 miles3)    3.23 miles4)    3.83 miles Answer: 2.83 miles Example: Multiply 1)    7562)    75.83)    75.44)    75.6 Answer: 75.6 Example: Multiply 9.53 x 1,000 1)    95.302)    953.003)    9,5304)    95,300 Answer: 9,530 Example: Multiply 60.5 x 60 1)    36,3002)    3,6303)    363.04)    36.300 Answer: 3,630 Example: A dinner fork and knife set costs \$1.50. Grace bought 12 such equally priced sets. How much did she spend in all for the fork and knife sets? 1)    \$18.002)    \$15.503)    \$15.004)    \$10.50 Answer: \$18.00 Example: Multiply 4.2 by 2.2 1)    924.02)    92.43)    9.244)    0.924 Answer: 9.24 Example: The cost to paint one square foot area of a board is \$1.5. How much money (in \$) would Eric need to pay to get 6.8 square feet of the board painted? Answer: \$10.2 Example: Divide 522.8 by 16 1)    32.6252)    32.6753)    34.6254)    34.675 Answer: 32.675 Example: A plumber cut a 21.5 feet pipe into 5 pieces. What is the average length of each of the 5 pipe pieces? 1)    4.1 feet2)    4.3 feet3)    4.5 feet4)    107.25 feet Answer: 4.3 feet Example: An incomplete number sentence is given below._ ÷ _ = 2 Which of the following set of numbers complete the above number sentence? 1)    1.5, 32)    2, 1.53)    5, 2.54)    4, 2.5 Answer: 5, 2.5 Example: Sara bought 2 coffee mugs that cost \$9.50 each, 4 bowls that cost \$15.25 each and a jug that cost \$11. How much did Sara spend in all? 1)    232)    323)    914)    233 Answer:91

Ratio and Proportions
 Example: In the picture shown below, what is the ratio of the number of triangles to the number of circles? 1)    5:32)    3:53)    3:84)    2:8 Answer: 5:3 Example: Convert the following ratio in the simplest form. 21:81 1)    1:32)    1:73)    7:94)    7:27 Answer: 7:27 Example: Find the ratio of the following.8 cups to 2 gallons 1)    1:42)    4:13)    1:164)    16:1 Answer: 1:4 Example: Ryan and Tyler, two brothers, went to their uncle’s house with their families for thanksgiving. Ryan drove his car 25 km in 30 minutes. Tyler drove his car 30 km in 30 minutes. Find the ratio of the average speed of Ryan’s car to the average speed of Tyler’s car? 1)    6:52)    5:63)    1:254)    30:1 Answer: 5:6 Example: Find the missing number from the following.18:27 = __:9 Answer: 6 Example: In St. Xavier's Elementary School, the ratio of the number of boys to the number of girls is 9:8. There are 480 girls in the school. How many boys are there in the school? Answer: 540 Example: Are the ratios 6:15 and 14:35 in proportion? 1)    Yes2)    No Answer: Yes Example: Which of the following ratios are in proportion? 1)    2:3 and 4:62)    5:8 and 4:73)    16:28 and 4:54)    12:24 and 13:25 Answer: 2:3 and 4:6 Example: Find the missing term to complete the proportion given below. 16:28 = 28:_ 1)    122)    163)    404)    49 Answer: 49 Example: Zachary owns a printing press and prints books for several authors. One of the Math books he recently printed had 500 pages. Some of the pages in the book have only text while others have both text and pictures. The ratio of the number of pages with only text to the total number of pages is 7:10. If Zachary charges \$1.2 per page for pages with pictures and \$0.8 per page for pages with only plain text, find the total charge to print all pages of the book. 1)    \$4602)    \$5003)    \$5204)    \$580 Answer: \$460

Rates and Percentages
 Example: Which option shows the unit rate in fraction form for the following? 198 words in 18 lines 1)    11 words/1 line2)    12 words/1 line3)    198 words/1 line4)    198 words/18 lines Answer: 11 words/1 line Example: Rebecca types 4,800 words in 120 minutes. Find the unit rate for her typing? 1)    140 words per minute2)    100 words per minute3)    60 words per minute4)    40 words per minute Answer: 40 words per minute Example: Logan bought 2 gallons of oil for \$38 from one shop and 3 gallons of oil for \$62 from another shop. Now he wants to sell all 5 gallons of the oil. At what unit price should he sell the oil such that he earns a 20% profit? 1)    \$4 per gallon2)    \$20 per gallon3)    \$24 per gallon4)    \$100 per gallon Answer: \$24 per gallon Example: Write the missing number for the unit rate assuming that the first term is equally distributed among the second term.525 students in 7 groups = _ students per group Answer: 75 Example: Kevin and his classmates went on a school field trip to a science research center in their school bus. The bus took 2 hours to reach the science research center but took 3 hours to travel back to the school due to heavy traffic congestion. In the return trip the average speed of the bus was 60 km/hour. Find the average speed of the bus for the entire trip. 1)    45 km/hour2)    60 km/hour3)    72 km/hour4)    90 km/hour Answer: 72 km/hour Example: What per cent is shaded in the following figure? 1)    28%2)    38%3)    62%4)    68% Answer: 38% Example: Write the following fraction as a percent. Answer: 40% Example: Convert the following percent to a fraction.60% Answer: Example: Find 30% of 350. 1)    502)    953)    1054)    115 Answer: 105 Example: Victoria had 500 leather handbags in her shop to sell. During an inspection she found out that 5% of them were defective. She packed the defective handbags for sending back to the company and sold 20% of the remaining handbags today. How many handbags did she sell today? 1)    952)    1003)    1154)    125 Answer: 95 Example: What percent is 16 of 80? 1)    5%2)    20%3)    40%4)    50% Answer: 20% Example: Mr. Jackson owns a fruit shop. He dried 75 pounds of grapes for a Christmas sale. After drying, the grapes only weighed 30 pounds. By how much percent did the weight of the grapes reduce after drying? Answer: 60% Example: If 4% of a number equals 72, what is that number? 1)    2882)    9003)    1,8004)    7,200 Answer: 1,800 Example: Mr. Lewis donated \$4,800 to his child's school. The amount of donation was 15% of his business profit for the month of December. What was his business profit in the month of December? Answer: \$32,000

Sequence and Pattern

Geometry – Lines and Angles

Geometry – Polygons and Solid figures

Customary Measurement
 Example: Convert 60 inches to feet 1)    102)    63)    54)    4 Answer: 5 Example: The deepest lake in North America, The Great Slave Lake, is around 2,016 feet deep. It is one of the deepest and the biggest fresh water bodies on the earth. What would be the depth of The Great Slave Lake in yards? Answer: 672 Example: Fill in the blanks 5 yards 2 feet = ---- feet. 1)    102)    173)    224)    62 Answer: 17 Example: Which of the following is less than 2 yards? 1)    73 inches2)    72 inches3)    5 feet 14 inches4)    5 feet 4 inches Answer: 5 feet 4 inches Example: Add 7 yards 9 inches + 8 feet 5 inches 1)    10 yards 2 inches2)    10 yards 14 inches3)    29 feet 2 inches4)    30 feet 14 inches Answer: 10 yards 2 inches Example: Mrs. White wants to make a dress for her daughter’s upcoming dance competition. She needs 5 feet 4 inches of green ribbon, 3 feet 6 inches of yellow ribbon and 4 feet 8 inches of violet ribbon to decorate the dress. Find the total length of all the ribbons she should purchase. Answer: 13 feet 6 inches Example: Subtract 7 yards 1 foot – 5 yards 2 feet = -----. 1)    1 yard 1 foot2)    1 yard 2 feet3)    2 yards 1 foot4)    2 yards 2 feet Answer: 1 yard 2 feet Example: Amanda bought a 4 feet 7 inches long craft wire to create some candle holders and a hanging bird feeder for her backyard. If she used 2 feet 9 inches of the wire to make the bird feeder, how much wire is left with her to make the candle holders? 1)    1 foot 8 inches2)    1 foot 10 inches3)    2 feet 2 inches4)    2 feet 8 inches Answer: 1 foot 10 inches Example: Multiply 7 yards 1 feet x 8 = ----. 1)    56 yards 2 feet2)    58 yards3)    58 yards 2 feet4)    58 yards 8 feet Answer: 58 yards 2 feet Example: Julia plans to purchase fabric for window curtains for her home. Each of the 5 windows in her home is around 38 inches in length. If she needs three times the total length of the windows for curtains, how many feet of fabric would Julia need to buy? 1)    15 feet 10 inches2)    37 feet 3 inches3)    47 feet 3 inches4)    47 feet 6 inches Answer: 47 feet 6 inches Example: Divide 19 feet 6 inches ÷ 6 = -----. 1)    3 feet 1 inch2)    3 feet 2 inches3)    3 feet 3 inches4)    4 feet 1 inch Answer: 3 feet 3 inches Example: A plumber cut a 21.5 feet long pipe into 5 pieces. What is the average length of each of the 5 pipe pieces? 1)    3 feet2)    4.3 feet3)    5 feet4)    107.25 feet Answer: 4.3 feet Example: Which of the following measure would you use to measure the weight of a ship? 1)    Ounce2)    Pound3)    Ton4)    Gallon Answer: Ton Example: 12,000 lbs = ----- tons 1)    32)    63)    84)    12 Answer: 6 Example: A white rhino usually found in the woodlands of Southern and Central Africa weighs around 3 tons. What would be its weight in pounds? 1)    1500 pounds2)    3000 pounds3)    5000 pounds4)    6000 pounds Answer: 6000 pounds Example: Which of the following is correct? 1)    4,004 lbs = 4 tons 4 lbs2)    2,523 lbs = 2 tons 235 lbs3)    4,320 lbs = 2 tons 320 lbs4)    4,230 lbs = 2 tons 460 lbs Answer: 4,320 lbs = 2 tons 320 lbs Example: Add 9 lbs 7 oz + 7 lbs 9 oz = --------. 1)    16 lbs2)    16 lbs 6 oz3)    17 lbs4)    17 lbs 6 oz Answer: 17 lbs Example: Christopher is an Army food supply truck driver and can carry 3 tons of food items together in his truck. This week he is supplying food packets to a Tsunami relief center and has breakfast packets weighing 14 ounces, lunch packets weighing 20 ounces and dinner packets weighing 18 ounces. What is the maximum weight of food he supplies to each disaster victim in a day, if he gives all the 3 meals to each victim daily? 1)    2 pounds2)    3 pounds 2 ounces3)    3 pounds 4 ounces4)    4 pounds 3 ounces Answer: 3 pounds 4 ounces Example: Subtract 7 lbs 17 oz – 19 oz = -----. 1)    5 lbs 8 oz2)    5 lbs 14 oz3)    6 lbs 8 oz4)    6 lbs 14 oz Answer: 6 lbs 14 oz Example: Mrs. Morris is an arts teacher. She purchased 12 pounds of modeling clay to teach her 5th grade students how to make models of human and animal shapes. The students made human shapes with 6 pounds 12 ounces of clay. If they used the rest of the clay for making animal models, how many pounds of clay did the students use to make animal models? 1)    4 pounds 5 oz2)    5 pounds 4 oz3)    5 pounds 88 oz4)    6 pounds 4 oz Answer: 5 pounds 4 oz Example: Multiply 6 tons 900 pounds x 5 = ----. 1)    32 tons 500 pounds2)    32 tons 4500 pounds3)    34 tons 500 pounds4)    34.5 tons Answer: 32 tons 500 pounds Example: A survey indicates that a person in a large American city drinks an average of 10 cups of water per day. What is the average amount of water consumed by a person in a 30 day month? 1)    19 gallons2)    18 gallons 22 cups3)    18 gallons 3 quarts4)    17 gallons 22 cups Answer: 18 gallons 3 quarts Example: Divide 21 pounds 14 ounces ÷ 7 = ----. Answer: 3 pounds 2 ounces Example: Mr. Wright purchased 210 pounds of oranges for his grocery store. If each of his fruit rack can display 26 pounds 4 ounces of oranges, how many such racks can hold all the oranges? 1)    42)    63)    74)    8 Answer: 8 Example: Which of the following measure would you use to measure the water in an aquarium? 1)    Fluid ounce2)    Cup3)    Pint4)    Gallon Answer: Gallon Example: Convert: 15 gallons = ---- quarts 1)    602)    643)    1204)    128 Answer: 60 Example: Fill in the blank using the correct sign 15 pints --- 2 gallons 1)    <2)    >3)    = Answer: < Example: Add 1)    19 quarts 2 cups2)    20 quarts 6 cups3)    5 gallons 2 cups4)    5 gallons 2 quarts Answer: 5 gallons 2 cups Example: Emma wants to prepare some fruit punch for her friends. She needs 16 oz orange juice, 8 oz grenadine, 16 oz lemon juice, 2 gallons chilled ginger ale and 4 oz corn syrup for the fruit punch. How much ingredients does she need in all? 1)    46 fl oz2)    36 cups 4 fl oz3)    18 pints 2 fl oz4)    9 quarts 12 fl oz Answer: 9 quarts 12 fl oz Example: Subtract 1)    12 gallons 2 pints2)    12 gallons 6 pints3)    13 gallons 2 pints4)    13 gallons 6 pints Answer: 12 gallons 6 pints Example: Sean purchased 50 gallons of gasoline for his car in the month of March. If he used 36 gallons 3 quarts in the first 3 weeks, how many gallons of gasoline did he use during rest of the month? 1)    13 gallons 1 quart2)    13 gallons 7 quarts3)    14 gallons 1 quart4)    14 gallons 7 quarts Answer: 13 gallons 1 quart Example: Multiply 15 gallons 3 quarts x 5 = -----. 1)    75 gallons 5 quarts2)    76 gallons 5 quarts3)    78 gallons 3 quarts4)    79 gallons Answer: 78 gallons 3 quarts Example: Abigail is preparing a cake for a party. She knows that 1.5 pounds of cake can serve 10 children. How many pounds of cake would she have to prepare to serve 50 children? 1)    2.5 pounds2)    7.5 pounds3)    10 pounds4)    12 pounds Answer: 7.5 pounds Example: Divide 48 gallons 3 quarts ÷ 5 = ----. 1)    7 gallons 7 quarts2)    7 gallons 8 quarts3)    8 gallons 6 quarts4)    9 gallons 3 quarts Answer: 9 gallons 3 quarts Example: Taylor is making a gallon of corn soup to serve at dinner with her friends. If 7 of her friends are coming to the party, how many cups of soup can she serve each person including herself? 1)    1 cup 4 fl oz2)    2 cups3)    2 cups 4 fl oz4)    3 cups Answer: 2 cups Example: 4 pipes of lengths 12.2 feet, 7.9 feet, 8.7 feet and 6.8 feet were joined in an underground pipe fitting. Which of the following is the best estimate for the total length of 4 pipes? 1)    34 feet2)    36 feet3)    38 feet4)    40 feet Answer: 36 feet

Metric Measurement
 Example: How many millimeters are there in half meter? 1)    20 millimeters2)    50 millimeters3)    500 millimeters4)    5000 millimeters Answer: 500 millimeters Example: William sold 7 m 75 cm of a rope to a customer. If the rope was priced at \$1 per 50 cm, how much money would William get from the customer for the rope? 1)    \$772)    \$38.53)    \$15.54)    \$11.55 Answer: \$15.5 Example: Which of the following is correct? 1)    120 cm > 10 dm2)    120 m < 120 cm3)    2 km > 300 m4)    300 dm > 2 m Answer: 120 cm > 10 dm Example: Add 1)    12 km2)    12 km 100 m3)    11 km 100 m4)    11 km Answer: 11 km 100 m Example: Hannah plans to stitch some new pillow covers for her living room couch. If she needs 2 m 50 cm of silk fabric and 2 m 30 cm of taffeta fabric, how much fabric does she need to purchase in all to stitch the pillow covers? 1)    48.0 cm2)    4.80 m3)    5 m4)    48.0 m Answer: 4.80 m Example: Subtract 1)    11 km 90 m2)    11 km 990 m3)    10 km 90 m4)    10 km 990 m Answer: 10 km 990 m Example: Amanda bought a 2 m 50 cm long copper wire from a home improvement store. Using a cutter, she cut off 80 cm of wire from the longer wire to install a light bulb. What is the length of the remaining wire? 1)    1 m 970 cm2)    1 m 70 cm3)    1 m 30 cm4)    1 m 20 cm Answer: 1 m 70 cm Example: Solve 12 meters X 4 meters = ? 1)    16 meters2)    16 square meters3)    48 meters4)    48 square meters Answer: 48 square meters Example: Dean decided to make a creative rope bookshelf for his room. He needs to purchase 6 wooden boards, some mounting screws, a measuring tape, super glue and some rope. If he needs 8 pieces each of 3m 25 cm ropes, how many meters of rope would he purchase in all for making the shelf? Answer: 26 meters Example: How many 100 meters are there in 3 kilometer? 1)    32)    303)    3004)    3,000 Answer: 30 Example: Joseph, Daniel, David and Justin planned a driving trip to Brownsville from their home town Austin. Brownsville is around 566 km away from Austin. If they divide the driving distance equally among them, how much distance would each drive from Austin to Brownsville? Answer: 141 km 500 m Example: How many kilograms are there in 5,900 grams? 1)    0.59 kilograms2)    5.9 kilograms3)    590 kilograms4)    59 kilograms Answer: 5.9 kilograms Example: Matthew used 0.45 decagrams gold to make a bracelet. If gold costs \$40 per gram, how much would it cost Matthew to make the bracelet? 1)    \$108.02)    \$118.53)    \$180.04)    \$1,800 Answer: \$180.0 Example: Which of the following is correct? 1)    100 kg = 10,000 grams2)    2 kg 60 grams < 2600 grams3)    4 kg 6 grams = 4600 grams4)    5 kg 70 grams > 5700 grams Answer: 2 kg 60 grams < 2600 grams Example: Add 1)    10 kg 110 grams2)    10 kg 10 grams3)    9 kg 110 grams4)    9 kg 10 grams Answer: 9 kg 110 grams Example: Nicole bought 2.25 kg of green vegetables and put it in an empty bag that weighed 75 grams. Then she bought 1 kg potatoes and 500 gm tomatoes and put those in the same bag. How much does her bag with all the vegetables weigh now? 1)    3,250 grams2)    3,500 grams3)    3,750 grams4)    3,825 grams Answer: 3,825 grams Example: Subtract 1)    4 kg 375 grams2)    4 kg 635 grams3)    5 kg 375 grams4)    5 kg 635 grams Answer: 4 kg 375 grams Example: Mrs. Reed is preparing some cakes and cookies for a family gathering. She purchased 5 kg 200 grams of flour and used 2 kg 750 grams of it to bake the cookies. How much flour is left for her to bake the cakes? 1)    2 kg 350 grams2)    2 kg 450 grams3)    3 kg 450 grams4)    3 kg 550 grams Answer: 2 kg 450 grams Example: Multiply 45 decagram x 18 = ----. 1)    810 grams2)    8 decagrams 10 grams3)    8 kg 10 grams4)    8 kg 100 grams Answer: 8 kg 100 grams Example: Divide 2 kg 750 grams ÷ 125 grams 1)    182)    193)    214)    22 Answer: 22 Example: Alexis’ luggage weighed 15 kg. She put a box of weight 1.7 kg in the luggage and took out another box of weight 1.2 kg from the luggage. How many grams does her luggage weigh now? 1)    15,500 grams2)    1,550 grams3)    155 grams4)    15.5 grams Answer: 15,500 grams Example: How many milliliters are there in 0.2 liters? 1)    20 milliliters2)    100 milliliters3)    200 milliliters4)    50 milliliters Answer: 200 milliliters Example: A medical store sold 15 bottles of Robitussin cough syrup in a day. How many liters of syrup did they sell if each bottle contains 250 ml of Robitussin syrup? 1)    0.3750 liters2)    3.750 liters3)    37.50 liters4)    375 liters Answer: 3.750 liters Example: Choose True or False 7 liters 80 milliliters < 7,700 milliliters 1)    True2)    False Answer: True Example: Add 4 liter 28 ml + 2 liter 92 ml 1)    6 liters 20 ml2)    6 liters 120 ml3)    7 liters 20 ml4)    7 liters 120 ml Answer: 6 liters 120 ml Example: Christopher is the energy drink supplier to a gas station grocery store. Last week he supplied the store 17 liter 500 ml energy drink in the first 3 days of the week and 22 liter 750 ml in the last 4 days of the week. How much total energy drink did Christopher supply to the gas station store last week? Answer: 40.250 liters Example: Subtract 7 liter 200 ml – 4 liter 750 ml Answer: 2 liter 450 ml Example: Sophia bought 4 liters of milk to make pudding and milkshake. She made pudding with 2 liters 750 milliliters of milk and kept the rest of milk for the milkshake. How much milk did Sophia keep to make the milkshake? Answer: 1 liter 250 milliliters Example: Nicole bought 19 meters of cloth to make some dresses for a drama class. The cloth cost \$32 per meter. Which of the following is the best estimate of the total cost of the cloth? 1)    \$682)    \$4003)    \$6004)    \$4,000 Answer: \$600

Measurement of Time and Temperature
 Example: Convert 2 hours 15 minutes = --- min 1)    75 min2)    125 min3)    135 min4)    145 min Answer: 135 min Example: Convert 420 days = ---- weeks 1)    70 weeks2)    60 weeks3)    7 weeks4)    6 weeks Answer: 60 weeks Example: Find the time that is 2 hours 45 minutes before 2:15 pm. 1)    11:15 am2)    11:30 am3)    11:15 pm4)    11:30 pm Answer: 11:30 am Example: Mrs. Williams is baking a cake for her friends. She prepared and kept the cake batter in the oven for baking. At 12:20 pm she took out the baked cake from the oven and plans to decorate it with icing after cooling. If the total baking time was 75 minutes, at what time did she keep the cake mix in the oven? 1)    11:05 am2)    11:35 am3)    11:05 pm4)    11:35 pm Answer: 11:05 am Example: Starting time and ending time for an activity is given below, find the elapsed time.Starting time: 1:15 P.M.Ending time: 4:45 P.M. 1)    3 hours 15 minutes2)    3 hours 30 minutes3)    3 hours 45 minutes4)    5 hours 30 minutes Answer: 3 hours 30 minutes Example: Brianna starts to watch a movie on her DVD player at 3:45 pm. She stops the movie at 4:35 pm since she has to attend her regular music classes. After the music classes at 6:05 pm Brianna starts to watch the rest of the movie and finishes the movie at 6:45 pm. How much time does Brianna spend in her music class? Answer: 1 hour 30 min Example: Find the time 3 hours 20 minutes after 11:40 pm. 1)    2:20 am2)    3:00 am3)    2:20 pm4)    3:20 pm Answer: 3:00 am Example: Zachary works in a restaurant for 8 hours daily. If he starts his work at 8:45 am and takes a lunch break of half an hour in between, at what time would he be able to go home? 1)    4:45 pm2)    5:00 pm3)    5:15 pm4)    5:30 pm Answer: 5:15 pm Example: Add 4 hours 24 min + 5 hours 50 min. 1)    9 hours 14 min2)    9 hours 24 min3)    10 hours 14 min4)    10 hours 24 min Answer: 10 hours 14 min Example: Subtract 6 hours – 4 hours 25 minutes. 1)    55 min2)    1 hour 35 min3)    1 hour 45 min4)    2 hours 25 min Answer: 1 hour 35 min Example: Convert 1)    682)    703)    724)    78 Answer: 68 Example: Convert 1)    402)    503)    524)    60 Answer: 50 Example: Answer: 45 degree celsius

Measurement of length, perimeter and circumference
 Example: Find the length of line segment AB. 1)    3.5 cm2)    4.5 cm3)    5.5 cm4)    7.5 cm Answer: 4.5 cm Example: Find the perimeter of the triangle shown below. 1)    70 cm2)    72 cm3)    73 cm4)    144 cm Answer: 72 cm Example: Find the perimeter of the rectangle shown below. 1)    31 cm2)    60 cm3)    61 cm4)    62 cm Answer: 62 cm Example: Find the value of x in the following figure: 1)    32)    43)    84)    12 Answer: 4 Example: Mr. Williams is the physical trainer at St. Jones Middle School. He asks the students to take two rounds of the rectangular school track each day as a warm up exercise. If the school track is 120 meter by 100 meter, how many meters would the students run each day? 1)    220 meter2)    440 meter3)    660 meter4)    880 meter Answer: 880 meter Example: If a side of a square is 7.2 inches long, what is the perimeter of the square? 1)    14.2 inches2)    14.8 inches3)    28.2 inches4)    28.8 inches Answer: 28.8 inches Example: Lauren is making flower beds in her backyard. She made 5 square flower beds of equal sides and now she wants to protect each flower bed with small fences. If each side of the flower bed measures 1.5 meters, what would be the total length of the fence she needs for the flower beds. Answer: 30 meters Example: Find the perimeter of the regular pentagon shown below. 1)    10 cm2)    12.25 cm3)    12.5 cm4)    125 cm Answer: 12.5 cm Example: The perimeter of a regular hexagon is 24 cm. Find the length of a side of that hexagon. 1)    15 cm2)    12 cm3)    6 cm4)    4 cm Answer: 4 cm Example: Find the perimeter of the following figure. 1)    78 mm2)    70 mm3)    69 mm4)    60 mm Answer: 78 mm Example: The figure below is made up of a rectangle and an equilateral triangle. Find the perimeter of the figure. 1)    12.5 cm2)    14 cm3)    15 cm4)    17 cm Answer: 14 cm Example: Find the perimeter of a rectangular carpet whose drawing is shown below. 1)    6 cm2)    10 m3)    30 m4)    40 m Answer: 30 m Example: Find the missing length CD from the given diagram. 1)    1 cm2)    2 cm3)    3 cm4)    4 cm Answer: 2 cm Example: Taylor made a painting that measures 5 feet by 8 feet and wants to frame the borders of the painting with wood trims. The wood trim cost \$3 per foot. How much would it cost Taylor to frame the painting? 1)    \$392)    \$783)    \$884)    \$108 Answer: \$78 Example: Luke needs to make some craft wire squares of 4 cm side for a school project. He decides to reuse the craft wire from a rectangle of length 80 cm and width 40 cm. How many craft wire squares would he be able to make if no wire gets wasted? 1)    82)    103)    124)    15 Answer: 15 Example: If the side of a square is doubled, then what will be the ratio of the resulting square’s perimeter to that of the original square’s perimeter? 1)    1:22)    2:13)    1:44)    4:1 Answer: 2:1 Example: Find the circumference of the circle.Radius = 5 cm, (use π = 3.14) 1)    127 cm2)    12.70 cm3)    3.14 cm4)    31.4 cm Answer: 31.4 cm Example: Emma wants to stitch a lace pattern on the edge of her circular dining table cover. If the radius of the table is 1.5 meter, find the length of the lace required. (Use π = 3.14) Answer: 9.42 meter Example: Find the circumference of the circle.Diameter = 14 cm, (use π = 22/7) 1)    3.14 cm2)    66 cm3)    44 cm4)    22 cm Answer: 44 cm Example: What is the distance traveled by a wheel in two revolution if the diameter of that wheel is 42 cm. (Use π = 22/7) 1)    122 cm2)    132 cm3)    244 cm4)    264 cm Answer: 264 cm

Measurement of Area and Volume

Data and Graph

Probability
 Example: Which of the following event is certain? 1)    Spinning a number greater than 8 on a spinner that has 4 sections numbered 2, 4, 6 and 82)    Spinning an even number on a spinner that has 4 sections numbered 2, 4, 6 and 83)    Spinning an odd number on a spinner that has 4 sections numbered 2, 4, 6 and 84)    Spinning a number 2 or 4 on a spinner that has 4 sections numbered 2, 4, 6 and 8 Answer: Spinning an even number on a spinner that has 4 sections numbered 2, 4, 6 and 8 Example: Which of the following event is impossible? 1)    Selecting a number which is divisible by 2 from the set of one digit odd numbers2)    Selecting a number which is divisible by 2 from the set of one digit even numbers3)    Selecting a number which is divisible by 3 from the set of one digit odd numbers4)    Selecting a number which is divisible by 3 from the set of one digit even numbers Answer: Selecting a number which is divisible by 2 from the set of one digit odd numbers Example: How many possible outcomes are there in a throw of a dice? 1)    12)    23)    34)    6 Answer: 6 Example: A box has 50 candies. 20 of them are of butter flavor, 15 are of strawberry flavor, 5 are of chocolate flavor and 10 are of orange flavor. If Amber picks a candy at random from the box, find the probability that she picks a strawberry flavor candy. 1) 2) 3) 4) Answer: Example: One card is drawn at random from a well-shuffled deck of 52 cards. Calculate the probability of drawing a card of spades. 1) 2) 3) 4) Answer: Example: Gabriel tosses 2 coins simultaneously (at the same time). Find the probability of getting one head and one tail? 1)    1 out of 42)    3 out of 43)    1 out of 24)    3 out of 8 Answer: 1 out of 2 Example: Ethan throws a dart on a multi colored target 50 times. The table below shows the number of times the dart hits different colors in the target. What is the experimental probability of the dart not hitting on yellow color? 1) 2) 3) 4) Answer: Example: Logan rolled a dice 60 times. The results are as shown in the table below. What is the experimental probability of rolling a 1 or 3? 1) 2) 3) 4) Answer: Example: The table below shows the results of spinning a spinner (shown below in the figure) 40 times. Use the table to find the experimental probability, P (Neither black nor red): 1) 2) 3) 4) Answer: Example: The table below shows the results of a survey of 50 students asking them for their favorite subject. 1)    P(Mathematics) < P(Science)2)    P(Science) < P(English)3)    P(English) < P(Mathematics)4)    P(Science) < P(Mathematics) Answer: P(Mathematics) < P(Science) Example: For the science week of his school, Ryan wants to make a science project. The tables below show the different subjects and types of models from which he can choose. Find the number of all the different combinations of 1 subject and 1 type of model Ryan can choose. 1)    52)    63)    74)    9 Answer: 6

Geometry – Polygon Relationships