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Here is a list of all of the skills students learn in Grade 4. The skills are organized into categories, and
you can move your mouse over any skill name to see a sample question.

 Example: Add 3,208 and 6,251.                 1)    9,0592)    9,3593)    9,4594)    9,559 Answer: 9,459 Example: 1)    9,5302)    10,5203)    10,5304)    10,630 Answer: 10,530 Example: A printer can print a maximum of 125 pages in an hour.Another printer can print a maximum of 160 pages in an hour.What would be the maximum number of pages both the printerscan print together in one hour? 1)    1752)    1853)    2754)    285 Answer: 285 Example: ____ + 2,415 = 3,096 1)    5812)    6813)    6824)    781 Answer: 681 Example: Estimate the following by first rounding off eachnumber to the nearest hundred, and then solving:4,278 + 1,413 1)    5,6002)    5,6903)    5,7004)    5,800 Answer: 5,700 Example: Austin bought a bike that cost \$868 and a PS3that cost \$545. Estimate the total cost of the bike andthe PS3 by first rounding off the cost of each item to thenearest ten and then adding. 1)    \$1,4002)    \$1,4103)    \$1,4134)    \$1,420 Answer: \$1,420 Example: Find the sum: 65 + 219 + 32 + 1,097 1)    1,4032)    1,4133)    1,4194)    1,423 Answer: 1,413 Example: A department store has multi-floor parking. If 225vehicles can be parked on level P1, 125 vehicles on levelP2 and 105 vehicles on level P3, how many vehicles in allcan be parked in the parking space of the department store? 1)    3552)    4253)    4554)    465 Answer: 455

Subtraction
 Example: Find the difference between 4,452 and 2,111. 1)    2,3412)    2,3633)    2,4414)    6,561 Answer: 2,341 Example: Subtract 784 from 2,059. 1)    1,2052)    1,2253)    1,2754)    1,725 Answer: 1,275 Example: In an online examination, out of the given 150 multiple-choicequestions, Alexandra answered 121 correctly. If she attempted all the questions, how many questions did she answer wrong? 1)    212)    293)    314)    39 Answer: 29 Example: 746 – _____= 137          1)    5292)    6093)    6114)    619 Answer: 609 Example: Estimate the following by first rounding off eachnumber to the nearest thousand, and then solving:7,454 – 3,768 1)    2,0002)    3,0003)    3,7004)    4,000 Answer: 3,000 Example: 5,725 – 1,062 – 820 – 31 1)    3,0222)    3,8123)    3,8224)    3,923 Answer: 3,812 Example: Mrs. Martin had \$1,950. She spent \$850 to buya couch for her living room and \$315 to buy a microwavefor her kitchen. How much money does Mrs. Martin haveleft with her now? 1)    \$7752)    \$7853)    \$8854)    \$1,055 Answer: \$785

Multiplication
 Example: Which of the following shows next 4 multiples of 7:7, 14, __, __, __, __? 1)    21, 27, 35, 422)    21, 28, 35, 423)    21, 29, 35, 424)    21, 28, 42, 49 Answer: 21, 28, 35, 42 Example: Which of the following is the group of thefirst two common multiples of 4 and 5? 1)    12 and 202)    20 and 253)    20 and 304)    20 and 40 Answer: 20 and 40 Example: How many arrows are there in the following figure? 1)    162)    203)    244)    28 Answer: 20 Example: 17 X 5 = 5 X ____ 1)    52)    153)    174)    25 Answer: 17 Example: 9 X 8 x 1 = 1 X ____ 1)    622)    633)    724)    81 Answer: 72 Example: Solve: 12 x 5 x 0 1)    02)    173)    604)    72 Answer: 0 Example: Multiply by using associative property:(9 x 8) x 5 1)    2602)    3403)    3604)    380 Answer: 360 Example: 6 x _____ = 54 1)    72)    83)    94)    12 Answer: 9 Example: The math worksheets in a book have 25 questionseach on multiplication. If Jason solved 6 such worksheets,which multiplication sentence shows the total number ofmultiplication questions solved by Jason? 1)    25 x 5 = 1252)    25 x 6 = 1503)    30 x 5 = 1504)    30 x 6 = 180 Answer: 25 x 6 = 150 Example: Multiply 40 and 120. 1)    3602)    4803)    3,6004)    4,800 Answer: 4,800 Example: Find the product: 6 x 3 x 9 1)    1122)    1423)    1624)    172 Answer: 162 Example: The cafeteria workers at a school work for 5hours a day, five days a week. If they make \$10 perhour, how much money does each worker make in aweek? 1)    \$1002)    \$1503)    \$2004)    \$250 Answer: \$250 Example: Round off each number to the nearestten and then multiply:39 x 32 1)    9002)    1,0003)    1,2004)    1,600 Answer: 1,200 Example: Which of the following multiplication factis related to 28 ÷ 7? 1)    7 X 2 = 282)    3 X 7 = 283)    7 X 4 = 284)    7 X 5 = 28 Answer: 7 X 4 = 28 Example: There are 21 rows of chairs in a hall and 12 chairs in each row. How can youfind the total number of chairs in the hall? 1)    Add the number of rows of chairs to the number of chairs in each row.2)    Multiply the number of rows of chairs by the number of chairs in each row.3)    Divide the number of rows of chairs by the number of chairs in each row.4)    Divide the number of chairs in each row by the number of rows of chairs. Answer: Multiply the number of rows of chairs by the number of chairs in each row.

Division
 Example: Which of the following shows all thefactors of 15? 1)    3, 52)    1, 3, 5, 153)    1, 3, 5, 9, 154)    1, 2, 3, 5, 10, 15 Answer: 1, 3, 5, 15 Example: Which of the following is a commonfactor of 9 and 15? 1)    32)    43)    54)    6 Answer: 3 Example: How many groups of 5 arrows each, can bemade from all the arrows shown below in the figure? 1)    72)    83)    94)    10 Answer: 8 Example: ___ ÷ 12 = 7          1)    722)    743)    844)    86 Answer: 84 Example: Solve: 52 ÷ 1          1)    02)    13)    254)    52 Answer: 52 Example: Use the division properties and findthe quotient: 97 ÷ 97 1)    02)    13)    974)    98 Answer: 1 Example: Which of the following is divisibleby 6? 1)    742)    863)    964)    106 Answer: 96 Example: Dividend 154 and divisor 11 1)    92)    123)    144)    24 Answer: 14 Example: Find the remainder:Dividend 60 and divisor 9 1)    52)    63)    74)    8 Answer: 6 Example: Lauren distributed 35 candies equally to her friends.If she distributed the candies equally among 6 friends, whichof the following is correct? 1)    Each friend got 5 candies and 4 were left over.2)    Each friend got 5 candies and 5 were left over.3)    Each friend got 6 candies and 4 were left over.4)    Each friend got 6 candies and 5 were left over. Answer: Each friend got 5 candies and 5 were left over. Example: Estimate the quotient by first rounding offthe numbers to the nearest ten and then dividing:538 ÷ 62 1)    82)    93)    804)    90 Answer: 9 Example: There are 42 students in a class. They need atotal of \$518 for a field trip. Estimate the amount of moneyeach student should contribute for the field trip by firstrounding off the total money needed for the field trip andthe number of students in the class to the nearest tenand then dividing. 1)    \$92)    \$113)    \$134)    \$14 Answer: \$13 Example: Which of the following division fact isrelated to 8 X 9? 1)    68 ÷ 8 = 92)    72 ÷ 9 = 83)    76 ÷ 8 = 94)    84 ÷ 9 = 8 Answer: 72 ÷ 9 = 8 Example: Mr. Wilson had \$985 in his wallet. Hepaid the telephone bill in advance for six monthswith cash and was left with \$295. If his telephonebill was a fixed amount of money each month, howmuch money did Mr. Wilson pay for each month? 1)    \$1102)    \$1153)    \$1204)    \$125 Answer: \$115

Number Concepts
 Example: Choose “Forty five thousand, six hundredeighty nine” in figures. 1)    45,0892)    45,6893)    450,6894)    40,000,5,000, 600,89 Answer: 45,689 Example: Which of the following shows 75,909 in words? 1)    Seven five, nine zero nine2)    Seven thousand, nine hundred nine3)    Seventy thousand, five thousand nine hundred nine4)    Seventy five thousand, nine hundred nine Answer: Seventy five thousand, nine hundred nine Example: Five hundred five thousand, one hundred twocandidates appeared for an exam. Three thousand, onehundred of those candidates did not qualify for the exam.Which of the following shows the number of candidateswho qualified for the exam? 1)    50,0022)    302,0023)    501,0024)    502,002 Answer: 502,002 Example: The table below shows the areas of five statesin the US.According to the table, which is the largeststate in total area? 1)    Texas2)    Alaska3)    Montana4)    California Answer: Alaska Example: Which of the following is correct? 1)    6,345 < 6,3252)    6,345 > 6,3253)    6,345 > 6,3544)    6,345 < 6,025 Answer: 6,345 > 6,325 Example: Container A has 6,342 gallons of water. ContainerB has 6,423 gallons of water. Container C has 6,432 gallonsof water. Which statement is true about the quantity of thewater in the containers? 1)    Container A has more water than Container B.2)    Container B has more water than Container A.3)    Container B has more water than Container C.4)    Container A has more water than Container C. Answer: Container B has more water than Container A. Example: Which of the following shows the set of threedigit numbers arranged from least to greatest? 1)    207, 534, 975, 7532)    534, 207, 753, 9753)    975, 753, 534, 2074)    207, 534, 753, 975 Answer: 207, 534, 753, 975 Example: Diameter of the planet Venus is 7,521 miles,diameter of the planet Earth is 7,926 miles and diameterof the planet Mars is 4,222 miles. Which of the followingshows the names of the planets arranged from greatestto least according to their diameters? 1)    Earth, Venus, Mars2)    Earth, Mars, Venus3)    Venus, Mars, Earth4)    Mars, Venus, Earth Answer: Earth, Venus, Mars Example: Find the next number in the sequence below:9,112, 9,322, 9,532, 9,742, _____ 1)    9,8522)    9,8623)    9,9524)    9,962 Answer: 9,952 Example: Round off 48,792 to the nearest hundred. 1)    48,0002)    48,7003)    48,8004)    49,000 Answer: 48,800 Example: An organization has 45,892 employees. The managementis planning to gift a watch to each of its employees on the occasionof the company’s Silver Jubilee. Find the estimated number of watchesthe management should purchase to the nearest thousand. 1)    40,0002)    45,0003)    46,0004)    56,000 Answer: 46,000

Place value
 Example: In the number 295,741, the digit ____is in the ten thousands place. 1)    22)    53)    74)    9 Answer: 9 Example: What is the place value of digit 4in the number 345,769? 1)    1,0002)    4,0003)    10,0004)    40,000 Answer: 40,000 Example: Write the largest five-digit number. Answer: 99,999 Example: Which of the following shows 17,472in expanded form? 1)    1,000 + 700 + 400 + 70 + 22)    10,000 + 7,000 + 40 + 23)    10,000 + 7,000 + 400 + 70 + 24)    10,000 + 70,000 + 400 + 70 + 2 Answer: 10,000 + 7,000 + 400 + 70 + 2 Example: A clothing store had 125,170 shirts and10,103 sweaters in their collection. Which of thefollowing shows the total numbers of shirts andsweaters the clothing store had in their collection inexpanded form? 1)    100,000 + 30,000 + 5,000 + 70 + 32)    10,000 + 3,000 + 5,000 + 200 + 70 + 33)    100,000 + 30,000 + 5,000 + 200 + 70 + 34)    100,000 + 30,000 + 5,000 + 200 + 3 Answer: 100,000 + 30,000 + 5,000 + 200 + 70 + 3 Example: Find the value of 10,000 + 3,000 + 500 + 20 + 2 =_______ 1)    13,5022)    13,5223)    53,1224)    130,522 Answer: 13,522 Example: What is the smallest 4-digit number that can be madewith the digits 6, 8, 5, and 2, when each digit can be used onlyonce? 1)    2,5682)    2,5863)    2,6584)    2,865 Answer: 2,568 Example: What is the greatest 5-digit number that can be madewith the digits 4, 9, 5, 3 and 7, when each digit can be used onlyonce? 1)    75,9532)    79,5433)    97,4534)    97,543 Answer: 97,543

Time

Fractions

Data and Graph

Statistics
 Example: Find the range for the given set of data:4, 6, 11 and 2 1)    62)    73)    84)    9 Answer: 9 Example: The table below shows the dollar amountsJessica earned each day during a three day bake sale.Study the table given below and find the mean of themoney she earned in a day. 1)    102)    123)    144)    18 Answer: 12 Example: Robert recorded the points scored by hisclassmates in a quiz. The points are given below.Find the median for the given set of data.5, 8, 8, 6, 7 and 9 1)    72)    7.53)    84)    8.5 Answer: 7.5 Example: Find the mode of the given set of data.“9 10 7 10 3 3 7 10” 1)    32)    73)    94)    10 Answer: 10 Example: The stem-and-leaf plot shown belowrepresents the points scored by the studentsof a class in their midterm exams. Study thestem-and-leaf plot and list the top 3 pointsscored in the midterm exam. 1)    26, 34, 432)    80, 74, 683)    74, 68, 654)    87, 86, 80 Answer: 87, 86, 80 Example: The stem and leaf plot below showsthe funds raised by Ashley from people in herneighborhood for American cancer society. Studythe stem-and-leaf plot and find the range of thedata set given below. 1)    432)    443)    454)    46 Answer: 45

Probability
 Example: In a random drawing of one marble from a bag of marbles, whichof the following event is certain? 1)    Pulling out a red marble from a bag that has only blue marbles.2)    Pulling out a red marble from a bag that has green and red marbles.3)    Pulling out a red marble from a bag that has blue, green and red marbles.4)    Pulling out a red marble from a bag that has only red marbles. Answer: Pulling out a red marble from a bag that has only red marbles. Example: If you pick a marble at random from the marblesgiven below, how likely is it that you will pick a blue one? 1)    Certain2)    Most likely3)    Least likely4)    Impossible Answer: Most likely Example: How likely is it that the pointer in thespinner below will stop on green? 1)    Certain2)    Most likely3)    Least likely4)    Impossible Answer: Least likely Example: Choose “Certain” or “Impossible” for the eventgiven below: Pulling out a black pen from a boxwith all red pens. 1)    Certain2)    Impossible Answer: Impossible Example: If you pick one marble from the marbles belowwithout looking, which of the following is the most likelyoutcome? 1)    Picking a green marble2)    Picking a gray marble3)    Picking a blue marble4)    Picking an orange marble Answer: Picking a gray marble Example: Brandon is planning his workout. He can either skate or run.For each activity, he can go over the hills or into the valley. How manydifferent combinations of workout can Brandon choose from? 1)    2 combinations2)    3 combinations3)    4 combinations4)    6 combinations Answer: 4 combinations Example: What is the probability of selecting an oddnumber in a random drawing of one number from thegroup of the 10 numbers given below?“21, 23, 24, 35, 43, 37, 52, 19, 20 and 41” 1) 2) 3) 4) Answer: Example: The table below shows 40 children’sfavorite dessert. A child is selected at randomfrom these 40 children. What is the probabilitythat the selected child’s favorite dessert iseither Popsicle or cookie? 1) 2) 3) 4) Answer: Geometry

Decimals
 Example: Choose a decimal to represent thecolored part of the figure given below: 1)    0.0852)    0.153)    0.854)    8.5 Answer: 0.85 Example: Choose a decimal for the given number:Twenty one and five hundredths 1)    0.2152)    21.0053)    21.054)    21.5 Answer: 21.05 Example: In the number 32.561, which digit isin the tenths place? 1)    12)    23)    54)    6 Answer: 5 Example: 1)    0.022)    0.083)    0.24)    0.8 Answer: 0.8 Example: Convert 0.35 into a fraction in itssimplest form. 1) 2) 3) 4) Answer: Example: Choose “True” or “False”:31.06 > 31.60 1)    True2)    False Answer: False Example: Order the following decimals from greatest to least.7.57, 7.05, 7.75, 7.50 1)    7.75, 7.57, 7.05, 7.502)    7.57, 7.75, 7.50, 7.053)    7.75, 7.57, 7.50, 7.054)    7.05, 7.50, 7.57, 7.75 Answer: 7.75, 7.57, 7.50, 7.05 Example: Lauren, Sara, Anna and Andrea participated in a swimmingcompetition. Lauren took 40.8 seconds, Sara 40.75 seconds, Anna40.79 seconds and Andrea 40.82 seconds to complete one lap ofthe swimming pool. Which of the following option best representsthe names of the girls arranged from fastest to the slowestparticipant? 1)    Sara, Anna, Lauren, Andrea2)    Sara, Anna, Andrea, Lauren3)    Sara, Lauren, Anna, Andrea4)    Andrea, Lauren, Anna, Sara Answer: Sara, Anna, Lauren, Andrea Example: 1)    53.5032)    53.5933)    53.6034)    53.99 Answer: 53.603 Example: Austin needs to mail 3 items to his grandma.The weight of the first item is 21.30 ounces, the weightof the second item is 15.21 ounces and the weight ofthe third item is 42.25 ounces. What is the total weightof all the three items that Austin needs to mail to hisgrandma? 1)    76.76 ounces2)    77.56 ounces3)    78.76 ounces4)    79.76 ounces Answer: 78.76 ounces Example: Subtract: 1)    11.362)    12.343)    12.364)    12.46 Answer: 12.36 Example: Morgan bought 3 kittens for \$42.80 from a pet shop.Two of the kittens were on sale for \$11.20 each. How muchmoney did Morgan pay for the third kitten? 1)    \$18.42)    \$20.43)    \$21.44)    \$31.4 Answer: \$20.4 Example: Find the product of 5 and 2.9. 1)    10.52)    12.53)    14.54)    15.5 Answer: 14.5 Example: Amber bought 6 bottles of apple juice. If eachbottle was for \$1.4, how much money did Amber pay inall for the juice bottles? 1)    \$6.42)    \$7.43)    \$8.44)    \$9.4 Answer: \$8.4 Example: Choose the correct decimal for themixed number: 1)    31.00032)    31.0033)    31.034)    31.3 Answer: 31.003 Example: 1)    38.32)    38.43)    39.34)    39.11 Answer: 38.3 Example: 1)    120.5 cm2)    121.5 cm3)    121.6 cm4)    122.5 cm Answer: 121.5 cm Example: Round off 102.28 to the nearest tenth. 1)    1002)    102.23)    102.34)    103 Answer: 102.3 Example: 12.12, 13.32, ___, 15.72, 16.92 1)    13.522)    14.223)    14.424)    14.52 Answer: 14.52 Example: Matthew purchased a microwave and paid \$75 asdown payment. He paid the rest of the money in 5 equalinstallments. If the cost of the microwave was \$320.50,how much money did he pay in each installment? 1)    \$45.102)    \$47.103)    \$48.254)    \$49.10 Answer: \$49.10

Measurement