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5th Grade Math Placement Test
15 questions · 20 minutes · Pencil and scratch paper, no calculator
Name:
Date:
Start time:
End time:
Write each answer on the line, or circle one letter. Fractions and mixed numbers are fine (for example 3/4 or 2 1/2).
- 1.
1,564 ÷ 34 = ?
Answer:
- 2.
52 × 45 = ?
Answer:
- 3.
3.4 × 0.6 = ?
Answer:
- 4.
4/5 − 1/4 = ?
Answer:
- 5.
What is 0.925 rounded to the nearest hundredth?
A0.925
B0.92
C0.93
D0.9
- 6.
Without working them out, which of these products is the smallest?
A1/3 × 1/2
B1/3 × 1/3
C1/3 × 1/4
D1/3 × 1/5
- 7.
Sara hiked 2 1/3 miles, then 1 3/4 miles. How far did she hike in total?
Answer:
- 8.
11 pizzas are shared equally among 4 friends. How many pizzas does each friend get? Write your answer as a mixed number.
Answer:
- 9.
A cooler holds 8 cups of lemonade. Each glass holds 1/2 cup. 5 glasses have already been filled. How many more glasses can be filled?
Answer:
- 10.
Which expression equals 16?
A(6 − 2) × 2
B(2 + 6) × 2
C2 + 6 × 2
D2 × 6 − 2
- 11.
A rope is 650 centimeters long. How many meters long is it? (1 m = 100 cm)
Answer:
- 12.
A rectangular prism has volume 105 cubic inches, with length 5 in and width 3 in. What is its height in inches?
Answer:
- 13.
Tank A is 9 ft × 4 ft × 3 ft. Tank B is 7 ft × 5 ft × 2 ft. How many more cubic feet does Tank A hold than Tank B?
Answer:
- 14.
A point starts at (4, 2) and moves 4 units up. Where is the point now?
A(4, 2)
B(5, 4)
C(8, 2)
D(4, 6)
- 15.
Of a square, a 4 cm × 9 cm rectangle, and a rhombus with angles 60° and 120°, which qualify as BOTH a rectangle and a rhombus?
AThe square only
BThe rectangle and the rhombus
CThe rhombus and the square
DAll three shapes
For parents · remove before the test
Answer Key: 5th Grade Math Placement Test
| # | Answer | Skill area |
|---|---|---|
| 1 | 46 | Whole Numbers & Decimals |
| 2 | 2,340 | Whole Numbers & Decimals |
| 3 | 2.04 | Whole Numbers & Decimals |
| 4 | 11/20 | Fractions |
| 5 | C (0.93) | Whole Numbers & Decimals |
| 6 | D (1/3 × 1/5) | Fractions |
| 7 | 4 1/12 | Fractions |
| 8 | 2 3/4 | Fractions |
| 9 | 11 | Fractions |
| 10 | B ((2 + 6) × 2) | Expressions |
| 11 | 6.5 | Measurement & Volume |
| 12 | 7 | Measurement & Volume |
| 13 | 38 | Measurement & Volume |
| 14 | D ((4, 6)) | Geometry & the Coordinate Plane |
| 15 | A (The square only) | Geometry & the Coordinate Plane |
Equivalent answers count as correct: 6/8 for 3/4, 0.5 for 1/2, and so on.
Scoring guide
- 12–15 correct: ready for 6th grade math.
- 0–11 correct: review 5th grade skills first. Start with the skill areas that had misses.
Questions per skill area: Whole Numbers & Decimals (4), Fractions (5), Expressions (1), Measurement & Volume (3), Geometry & the Coordinate Plane (2).
This is a quick skills check. It is not a standardized or normed test and gives no percentile. For a skill-by-skill breakdown, enter the answers at 15q20m.com/math-placement-test/5th-grade/score.