Grade 5 Review

Place Value Puzzles

100

Build the number: 600,000 + 40,000 + 9,000 + 300 + 7.

649,307

200

Write as one decimal: 8 + 0.06 + 0.004 + 0.0009.

8.0649

300

Round each number to the nearest whole number: 49.49 and 49.50.

49 and 50

400

In 583,406, the digit 8 is replaced with 2. How much smaller is the new number?

60,000 smaller

500

Find the missing number: ___ + 0.7 + 0.04 + 0.008 = 38.748. Then round 38.748 to the nearest whole number.

Missing number: 38. Rounded number: 39.

Square and Cube Challenge

100

Calculate: 6² + 3²

36 + 9 = 45

200

Calculate: 4³ − 5²

64 − 25 = 39

300

Calculate: 3³ + 8² − 10

27 + 64 − 10 = 81

400

Find the missing positive whole number: □² + 2³ = 89.

9, because 81 + 8 = 89.

500

Mia says, “5³ and 3⁵ are equal because the numbers are swapped.” Calculate both to show whether she is correct.

Incorrect. 5³ = 125, while 3⁵ = 243.

Multiples and Venn Mysteries

100

Is 280 a multiple of 30, a multiple of 70, both or neither?

A multiple of 70 only. 70 × 4 = 280.

200

Which numbers belong in the overlap: 45, 60, 75, 90, 108?

60 and 90

300

Which numbers belong outside both circles: 42, 49, 55, 68, 72, 85?

49 and 68

400

I am a multiple of both 30 and 70. I am greater than 300 but less than 500.

What number am I?420

500

Sort 35, 48, 60, 77, 90, 96 into four groups: multiples of 5 only, multiples of 6 only, both, and neither.

5 only: 35. 6 only: 48, 96. Both: 60, 90. Neither: 77.

Data Detectives

100

Find the range: 125, 148, 119, 162, 137.

162 − 119 = 43

200

Find the mode: 24, 18, 31, 24, 18, 24, 35.

24

300

Find the median: 46, 29, 51, 38, 42, 33, 47.

Ordered: 29, 33, 38, 42, 46, 47, 51. 

Median = 42.

400

Find the range, median and mode: 12.5, 10.5, 14.5, 12.5, 11.5, 15.5, 13.5.

Range: 5. 

Median: 12.5. 

Mode: 12.5.

500

These numbers are in order: 14, 18, □, 25, 31. The median is 22. Find the missing number and the range.

Missing number: 22. Range: 31 − 14 = 17.

Integer Adventure

100

Start at −7 on a number line. Move 12 steps right. Where do you land?

5

200

Calculate: −6 + (−8)

−14

300

Calculate: 4 − (−9) − 6

4 + 9 − 6 = 7

400

The temperature is −5°C. It rises by 12°C, then falls by 9°C. What is the final temperature?

−5 + 12 − 9 = −2°C

500

Find the missing number: −8 + □ − (−5) = 6.

9, because −8 + 9 + 5 = 6.