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6th 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.
169 ÷ 13 = ?
Answer:
- 2.
9.2 ÷ 4 = ?
Answer:
- 3.
25% of 120 = ?
Answer:
- 4.
If x = 7, 2x + 3 = ?
Answer:
- 5.
Which phrase matches 5k − 2?
A2 less than 5 times k
B5 less than k
C5 times the difference of k and 2
D5 minus twice k
- 6.
In a school club, the ratio of students who bike to students who walk is 3:4. There are 12 students who walk. How many students are in the club in all?
Answer:
- 7.
A painter has 7/8 gallon of paint. Painting one shelf uses 1/4 gallon. How many shelves' worth of paint does the painter have?
A1 3/4
B3 1/2
C4
D7/32
- 8.
Which data set has a median of 8 and a range of 6?
A5, 8, 11
B5, 7, 11
C6, 8, 10
D5, 8, 13
- 9.
One notebook pack costs $8 for 4 notebooks. Another costs $12 for 6 notebooks. Which pack is the better deal?
Athe first pack
Bthe second pack
Cboth have the same unit price
Dthere is not enough information
- 10.
A bike rental charges $8 per hour. Maya paid $48. How many hours did she rent?
Answer:
- 11.
Points A and B share the same y-coordinate. A is at x = -4 and B is at x = 5. What is the distance between them?
Answer:
- 12.
A polygon is made from a 12 × 4 rectangle and a triangle with base 8 and height 5. What is the total area?
Answer:
- 13.
Which expression is 6k + 18 written in factored form?
A6(k + 18)
B2(3k + 18)
C6k + 3
D6(k + 3)
- 14.
A fish tank is 8 feet long, 3 feet wide, and 3 feet high. Water fills it to 2/3 of its height. What is the volume of the water?
Answer:
- 15.
Five quiz scores have a mean of 8. Four of them are 6, 7, 9, and 10. What is the fifth score?
Answer:
For parents · remove before the test
Answer Key: 6th Grade Math Placement Test
| # | Answer | Skill area |
|---|---|---|
| 1 | 13 | Division, Decimals & Negative Numbers |
| 2 | 2.3 | Division, Decimals & Negative Numbers |
| 3 | 30 | Ratios, Rates & Percents |
| 4 | 17 | Expressions & Equations |
| 5 | A (2 less than 5 times k) | Expressions & Equations |
| 6 | 21 | Ratios, Rates & Percents |
| 7 | B (3 1/2) | Division, Decimals & Negative Numbers |
| 8 | A (5, 8, 11) | Statistics |
| 9 | C (both have the same unit price) | Ratios, Rates & Percents |
| 10 | 6 | Expressions & Equations |
| 11 | 9 | Division, Decimals & Negative Numbers |
| 12 | 68 | Area & Volume |
| 13 | D (6(k + 3)) | Expressions & Equations |
| 14 | 48 | Area & Volume |
| 15 | 8 | Statistics |
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 7th grade math.
- 0–11 correct: review 6th grade skills first. Start with the skill areas that had misses.
Questions per skill area: Ratios, Rates & Percents (3), Division, Decimals & Negative Numbers (4), Expressions & Equations (4), Area & Volume (2), Statistics (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/6th-grade/score.