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Question 1Whole numbers, operations and elementary patterns
There are 6 boxes. Each box holds 7 crayons. How many crayons are there in all?
- 13
- 42 Correct answer.
- 36
- 49
Explanation
Multiplication finds the total of equal groups: 6 groups of 7 equals 6 x 7 = 42. You can also skip-count by 7 six times: 7, 14, 21, 28, 35, 42.
Question 2Whole numbers, operations and elementary patterns
Maria has 24 stickers. She shares them equally among 4 friends. How many stickers does each friend get?
- 6 Correct answer.
- 8
- 5
- 28
Explanation
Sharing equally is division: 24 divided into 4 equal groups is 24 / 4 = 6. Each friend gets 6 stickers because 4 x 6 = 24.
Question 3Whole numbers, operations and elementary patterns
Which number makes this equation true? 7 x ___ = 56
- 6
- 7
- 8 Correct answer.
- 9
Explanation
Find the missing factor by asking what times 7 equals 56. Since 7 x 8 = 56, the missing factor is 8. You can also divide: 56 / 7 = 8.
Question 4Whole numbers, operations and elementary patterns
A baker puts muffins into trays. There are 9 trays and each tray holds 4 muffins. How many muffins are there altogether?
- 13
- 36 Correct answer.
- 32
- 45
Explanation
Nine equal groups of 4 muffins means 9 x 4 = 36 muffins. The total of equal groups is found by multiplying the number of groups by the size of each group.
Question 5Fractions as equal parts and numbers
A pizza is cut into 8 equal slices. What fraction does 1 slice represent?
- 1/8 Correct answer.
- 8/1
- 1/4
- 8/8
Explanation
When a whole is split into 8 equal parts, each part is a unit fraction of 1/8. The denominator 8 shows the number of equal parts.
Question 6Fractions as equal parts and numbers
A rectangle is divided into 6 equal parts and 4 of them are shaded. What fraction is shaded?
- 6/4
- 4/6 Correct answer.
- 1/6
- 2/6
Explanation
The denominator is the total number of equal parts (6) and the numerator is the number shaded (4), so 4/6 is shaded.
Question 7Fractions as equal parts and numbers
On a number line from 0 to 1 divided into 4 equal parts, which fraction is at the third mark from 0?
- 1/4
- 2/4
- 3/4 Correct answer.
- 4/4
Explanation
Each space between marks is 1/4. Counting three spaces from 0 lands on 3/4 on the number line.
Question 8Fractions as equal parts and numbers
Which fraction is equivalent to 1/2?
- 2/3
- 3/4
- 2/4 Correct answer.
- 1/3
Explanation
Equivalent fractions name the same amount. 2/4 reduces to 1/2 because 2 is half of 4, just as 1 is half of 2.
Question 9Fractions as equal parts and numbers
Which symbol makes this true? 2/8 ___ 5/8
- greater than
- less than Correct answer.
- equal to
- none of these
Explanation
When fractions have the same denominator, compare the numerators. Since 2 is less than 5, 2/8 is less than 5/8.
Question 10Measurement, shapes and data interpretation
A rectangle is 6 units long and 4 units wide. What is its area?
- 10 square units
- 20 square units
- 24 square units Correct answer.
- 12 square units
Explanation
Area of a rectangle is length times width: 6 x 4 = 24 square units. Area measures the number of unit squares that cover the rectangle.
Question 11Measurement, shapes and data interpretation
A square garden has sides that are each 5 feet long. What is its perimeter?
- 10 feet
- 20 feet Correct answer.
- 25 feet
- 15 feet
Explanation
Perimeter is the distance around a shape. A square has 4 equal sides, so 5 + 5 + 5 + 5 = 20 feet, or 4 x 5 = 20 feet.
Question 12Measurement, shapes and data interpretation
What time does a clock show when the hour hand is just past the 2 and the minute hand points to the 6?
- 2:30 Correct answer.
- 6:10
- 2:06
- 3:30
Explanation
The minute hand on the 6 means 30 minutes. The hour hand just past 2 means 2 o'clock, so the time is 2:30.
Question 13Measurement, shapes and data interpretation
A movie starts at 3:15 p.m. and lasts 45 minutes. What time does it end?
- 3:45 p.m.
- 4:00 p.m. Correct answer.
- 4:15 p.m.
- 3:60 p.m.
Explanation
Add 45 minutes to 3:15. From 3:15 to 3:60 is 45 minutes, and 3:60 is the same as 4:00 p.m. The movie ends at 4:00 p.m.
Question 14Measurement, shapes and data interpretation
About how much liquid would a kitchen spoon hold?
- 5 milliliters Correct answer.
- 5 liters
- 50 liters
- 500 liters
Explanation
A spoon holds a tiny amount of liquid, best measured in milliliters. About 5 milliliters is reasonable for a spoon.
Question 15Whole numbers, operations and elementary patterns
There are 35 students who sit at tables. Each table seats 5 students. How many tables are needed?
- 6
- 7 Correct answer.
- 8
- 30
Explanation
To find how many groups of 5 fit into 35, divide: 35 / 5 = 7. Seven tables are needed because 7 x 5 = 35.
Question 16Whole numbers, operations and elementary patterns
Which expression has the same value as 6 x 8?
- 6 + 8
- 8 x 6 Correct answer.
- 6 x 7
- 48 + 6
Explanation
The commutative property of multiplication says the order of factors does not change the product, so 6 x 8 = 8 x 6 = 48.
Question 17Whole numbers, operations and elementary patterns
What is 81 / 9?
- 7
- 8
- 9 Correct answer.
- 72
Explanation
Division undoes multiplication. Since 9 x 9 = 81, it follows that 81 / 9 = 9.
Question 18Whole numbers, operations and elementary patterns
Liam buys 4 packs of pencils. Each pack has 6 pencils. He then gives away 5 pencils. How many pencils does he have left?
- 19 Correct answer.
- 24
- 15
- 29
Explanation
First multiply to find the total: 4 x 6 = 24 pencils. Then subtract the 5 he gives away: 24 - 5 = 19 pencils left. This is a two-step problem.
Question 19Whole numbers, operations and elementary patterns
Which number is even?
- 27
- 31
- 46 Correct answer.
- 53
Explanation
An even number ends in 0, 2, 4, 6, or 8 and can be split into two equal groups. The number 46 ends in 6, so it is even.
Question 20Whole numbers, operations and elementary patterns
What is the missing number in this pattern? 4, 8, 12, ___, 20
- 14
- 15
- 16 Correct answer.
- 18
Explanation
The pattern increases by 4 each time. After 12 comes 12 + 4 = 16, and 16 + 4 = 20 confirms the answer.
Question 21Whole numbers, operations and elementary patterns
Which equation is true?
- 3 x 4 = 7
- 5 x 2 = 10 Correct answer.
- 6 x 3 = 21
- 4 x 4 = 12
Explanation
Check each product. 5 x 2 means two groups of 5, which equals 10, so this equation is true.
Question 22Whole numbers, operations and elementary patterns
A farmer plants 3 rows of corn with 9 plants in each row. How many corn plants are there?
- 12
- 27 Correct answer.
- 24
- 18
Explanation
An array of 3 rows by 9 plants is 3 x 9 = 27 plants. The number of rows times the number in each row gives the total.
Question 23Whole numbers, operations and elementary patterns
Which multiplication fact does this array show? 5 rows of dots with 6 dots in each row.
- 5 x 6 = 30 Correct answer.
- 5 + 6 = 11
- 6 x 6 = 36
- 5 x 5 = 25
Explanation
An array with 5 rows and 6 dots in each row models 5 x 6. Counting all the dots gives 30, so 5 x 6 = 30.
Question 24Whole numbers, operations and elementary patterns
What is 10 x 7?
- 17
- 70 Correct answer.
- 77
- 107
Explanation
Multiplying a number by 10 puts a zero at the end: 10 x 7 = 70. You can also think of it as 7 groups of 10.
Question 25Whole numbers, operations and elementary patterns
What is the value of the digit 7 in the number 4,738?
- 7
- 70
- 700 Correct answer.
- 7,000
Explanation
In 4,738 the digit 7 is in the hundreds place, so its value is 7 hundreds, which is 700.
Question 26Whole numbers, operations and elementary patterns
What is 367 rounded to the nearest hundred?
- 300
- 360
- 370
- 400 Correct answer.
Explanation
To round to the nearest hundred, look at the tens digit. The tens digit is 6, which is 5 or more, so round up: 367 rounds to 400.
Question 27Whole numbers, operations and elementary patterns
What is 458 + 367?
- 715
- 825 Correct answer.
- 725
- 815
Explanation
Add by place value: 8 + 7 = 15 (write 5, carry 1), 5 + 6 + 1 = 12 (write 2, carry 1), 4 + 3 + 1 = 8. The sum is 825.
Question 28Whole numbers, operations and elementary patterns
What is 600 - 247?
- 353 Correct answer.
- 453
- 363
- 347
Explanation
Subtract with regrouping: 600 - 247. Borrow to get 353 because 247 + 353 = 600. You can check by adding the answer back to 247.
Question 29Whole numbers, operations and elementary patterns
Which symbol makes this true? 4,206 ___ 4,260
- greater than
- less than Correct answer.
- equal to
- none of these
Explanation
Compare digits from the left. The thousands and hundreds match, but in the tens place 0 is less than 6, so 4,206 is less than 4,260.
Question 30Whole numbers, operations and elementary patterns
What is 30 x 6?
- 18
- 180 Correct answer.
- 36
- 1,800
Explanation
Multiply 3 x 6 = 18, then multiply by 10 because of the multiple of ten: 18 x 10 = 180. So 30 x 6 = 180.
Question 31Whole numbers, operations and elementary patterns
How is the number 'two thousand fifty-three' written in standard form?
- 2,530
- 2,053 Correct answer.
- 253
- 20,053
Explanation
Two thousand is 2,000, plus fifty is 50, plus three is 3. Together that is 2,053, with a zero in the hundreds place.
Question 32Whole numbers, operations and elementary patterns
What is 72 rounded to the nearest ten?
- 70 Correct answer.
- 80
- 72
- 100
Explanation
To round to the nearest ten, look at the ones digit. The ones digit is 2, which is less than 5, so round down to 70.
Question 33Whole numbers, operations and elementary patterns
A store had 1,250 bottles. It sold 480. How many bottles are left?
- 770 Correct answer.
- 870
- 730
- 880
Explanation
Subtract the bottles sold from the total: 1,250 - 480 = 770. You can check by adding 770 + 480 = 1,250.
Question 34Whole numbers, operations and elementary patterns
Which number has a 5 in the thousands place?
- 3,150
- 5,283 Correct answer.
- 1,560
- 8,051
Explanation
The thousands place is the leftmost digit in a four-digit number. In 5,283 the digit 5 is in the thousands place.
Question 35Whole numbers, operations and elementary patterns
What is 235 + 148 + 12?
- 395 Correct answer.
- 385
- 405
- 375
Explanation
Add step by step: 235 + 148 = 383, then 383 + 12 = 395. Lining up place values keeps the columns correct.
Question 36Whole numbers, operations and elementary patterns
Which of these is the same as 700 + 40 + 9?
- 749 Correct answer.
- 709
- 794
- 740
Explanation
Expanded form adds the value of each place: 700 + 40 + 9 = 749. The 7 is hundreds, 4 is tens, and 9 is ones.
Question 37Whole numbers, operations and elementary patterns
Estimate 412 + 289 by rounding each number to the nearest hundred. What is the estimate?
- 600
- 700 Correct answer.
- 800
- 650
Explanation
Round 412 to 400 and 289 to 300. Then add the rounded numbers: 400 + 300 = 700.
Question 38Whole numbers, operations and elementary patterns
Which list shows the numbers in order from least to greatest?
- 1,420; 1,240; 1,402
- 1,240; 1,402; 1,420 Correct answer.
- 1,402; 1,240; 1,420
- 1,420; 1,402; 1,240
Explanation
Compare by place value. The hundreds digits are 2, 4, and 4. The smallest is 1,240, then 1,402, then 1,420 because 02 tens is less than 20 tens.
Question 39Whole numbers, operations and elementary patterns
What is 50 x 8?
- 40
- 400 Correct answer.
- 58
- 4,000
Explanation
Multiply 5 x 8 = 40, then multiply by 10 for the multiple of ten: 40 x 10 = 400. So 50 x 8 = 400.
Question 40Whole numbers, operations and elementary patterns
What is 48 / 6?
- 7
- 8 Correct answer.
- 9
- 42
Explanation
Ask what number times 6 equals 48. Since 6 x 8 = 48, the quotient is 48 / 6 = 8.
Question 41Whole numbers, operations and elementary patterns
Which number makes this equation true? ___ / 8 = 7
- 15
- 48
- 56 Correct answer.
- 64
Explanation
If a number divided by 8 equals 7, then the number is 8 x 7 = 56. Multiplication and division are inverse operations.
Question 42Whole numbers, operations and elementary patterns
Use the distributive property: 7 x 8 is the same as which expression?
- (7 x 5) + (7 x 3) Correct answer.
- 7 + 8
- (7 x 4) x 2
- 7 x 7 + 1
Explanation
The distributive property breaks a factor apart. Since 8 = 5 + 3, then 7 x 8 = (7 x 5) + (7 x 3) = 35 + 21 = 56.
Question 43Whole numbers, operations and elementary patterns
A teacher has 4 boxes of markers with 8 markers in each box, and 1 loose marker. How many markers in all?
- 13
- 33 Correct answer.
- 32
- 36
Explanation
Multiply the boxes first: 4 x 8 = 32 markers, then add the loose one: 32 + 1 = 33 markers. This is a two-step problem.
Question 44Whole numbers, operations and elementary patterns
What is 4 x 4 x 2?
- 10
- 32 Correct answer.
- 16
- 24
Explanation
Multiply two factors first: 4 x 4 = 16, then 16 x 2 = 32. The order of grouping does not change the product.
Question 45Whole numbers, operations and elementary patterns
Anna read 5 books each month for 7 months. How many books did she read?
- 12
- 35 Correct answer.
- 30
- 40
Explanation
Seven equal groups of 5 books means 7 x 5 = 35 books. Multiplying the months by books per month gives the total.
Question 46Whole numbers, operations and elementary patterns
Which fact can help you check that 36 / 4 = 9?
- 9 x 4 = 36 Correct answer.
- 36 + 4 = 40
- 9 + 4 = 13
- 36 - 4 = 32
Explanation
Multiplication checks division because they are inverse operations. Since 9 x 4 = 36, the quotient 36 / 4 = 9 is correct.
Question 47Whole numbers, operations and elementary patterns
What is 12 x 3?
- 15
- 36 Correct answer.
- 33
- 39
Explanation
Break 12 into 10 and 2: (10 x 3) + (2 x 3) = 30 + 6 = 36. So 12 x 3 = 36.
Question 48Whole numbers, operations and elementary patterns
Which number rounds to 500 when rounded to the nearest hundred?
- 449
- 612
- 551
- 549 Correct answer.
Explanation
A number rounds to 500 if it is from 450 to 549. The number 549 is in that range, so it rounds to 500.
Question 49Whole numbers, operations and elementary patterns
A class collects 326 cans in week one and 198 cans in week two. How many cans in all?
- 524 Correct answer.
- 514
- 424
- 534
Explanation
Add the two weeks: 326 + 198. Add ones (6 + 8 = 14), tens (2 + 9 + 1 = 12), hundreds (3 + 1 + 1 = 5), giving 524 cans.
Question 50Whole numbers, operations and elementary patterns
A rope is 9 meters long. It is cut into 3 equal pieces. How long is each piece?
- 3 meters Correct answer.
- 6 meters
- 12 meters
- 27 meters
Explanation
Dividing into equal pieces uses division: 9 / 3 = 3 meters per piece. Each of the 3 pieces is the same length.