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LEAP 2025 Grade 6 Math Practice Test

Total questions: 43

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

A can contains 1516\frac{15}{16} pound of vegetables. One serving of these vegetables weights 14\frac{1}{4} pound. What is the total number of servings of vegetables in the can?

a)

1564\frac{15}{64} serving

b)

415\frac{4}{15} serving

c)

31163 \frac{1}{16} servings

d)

3343 \frac{3}{4} servings

2.

Which of these expressions are equivalent to p3\frac{p}{3} ? Select each correct answer.

a)

E. 3p9\frac{3p}{9}

b)

B. 13p\frac{1}{3}p

c)

F. 13p+13p+13p\frac{1}{3}p + \frac{1}{3}p + \frac{1}{3}p

d)

C. p−3p - 3

e)

A. p−23pp - \frac{2}{3}p

3.

The table shows the numbers of books, by type, checked out from the school library on Monday.

Table: Book Checkout
- Mystery: 24
- Nonfiction: 18
- Adventure: 12
- Humor: 16

For every ___ mystery books checked out, ___ nonfiction books were checked out.

Simplify and separate your two answers with a comma and space (i.e. 2, 3)

(a)  

4.

Sonia has two packages of hamburger meat. The first package weighs 1.76 pounds and the second package weighs 2.29 pounds. She mixes the two packages together and forms hamburgers that weigh 0.25 pound each. What is the greatest number of 0.25-pound hamburgers Sonia can make using the hamburger meat she has?

a)

A. 2

b)

B. 7

c)

C. 9

d)

D. 16

5.

This coordinate plane shows the location of point W. What is the value of the x-coordinate of point W? Enter your answer as a decimal to the nearest 0.5. Enter your answer in the box.

a)

-3.5

b)

-3.0

c)

-2.0

d)

-1.5

6.

34,992 ÷ 81 =

a)

432

b)

430

c)

435

d)

440

7.

The values on a number line are labeled f, g, and h. f = -4, g = -g, h = -f. Which number line correctly shows the values of f, g, and h?

a)

b)

c)

d)

8.

Select the expression that is equivalent to 48 + 12.

a)

6 (8 + 6)

b)

12 (4 + 1)

c)

4 (44 + 3)

d)

8 (6 + 4)

9.

Which questions are statistical questions? Select each correct answer.

a)

How old is Mr. Patterson?

b)

How many states has Juanita visited?

c)

How many students are in Mrs. Lee's class today?

d)

How many students eat lunch in the cafeteria each day?

e)

How many pets does each student at your school have at home?

10.

Sally rents a life jacket for a one-time fee of $5. She then rents a canoe for $15 per hour. Which expression represents the total cost, in dollars, to rent the life jacket and the canoe for h hours?

a)

5 + 15h

b)

10h

c)

15 + 5h

d)

20h

11.

The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set: 89, 98, 109, 123, 123, 125, 125, 128, 130, 135, 137, 140, 143, 143. What is the frequency of movies with a length of 125 minutes?

a)

1

b)

2

c)

3

d)

4

12.

Water freezes at 0°C Celsius. Indicate whether -15 degrees Celsius is above freezing or below freezing.

a)

Above Freezing

b)

Below Freezing

13.

What is the result when 75,069 is divided by 45? Enter your answer in the box.

a)

1668.2

b)

1500.5

c)

1700.3

d)

1600.4

14.

An expression is shown. 12 · 12 · 12 · 12 + 7 (3 · 3 · 3 · 3 + 3) Which of the following shows this expression written using exponents?

a)

412+7(53)4^{12} + 7 (5^{3})

b)

412+7(43+3)4^{12} + 7 (4^{3} + 3)

c)

124+7(35)12^4 + 7 (3^5)

d)

124+7(34+3)12^4 + 7 (3^4 + 3)

15.

Heather drove at a constant rate. She traveled 162 miles in 3 hours. How far, in miles, did Heather travel in 1 hour?

a)

54 miles

b)

50 miles

c)

60 miles

d)

55 miles

16.

The picture shows part of a thermometer measuring temperature in degrees Fahrenheit. What is the temperature, in degrees Fahrenheit, shown on the thermometer to the nearest integer? Enter your integer answer in the box.

(a)  

17.

City planners are creating a neighborhood map on a coordinate grid. The table shows the locations of the neighborhood library and school on a coordinate grid. In this coordinate grid, the distance between each gridline represents 1 mile. What is the distance, in miles, between the library and the school?

a)

9 miles

b)

5 miles

c)

12 miles

d)

15 miles

18.

Select each expression that is equivalent to 3(n + 6). Select all that apply.

a)

3n + 6

b)

3n + 18

c)

2n + 2 + n + 4

d)

2(n + 6) + (n + 6)

e)

2(n + 6) + n

19.

What is 78.32+6.78478.32 + 6.784 ?

a)

85.104

b)

85.1

c)

85.11

d)

85.12

20.

What is the quotient of 33.32 ÷ 9.8?

a)

2.9

b)

3.4

c)

3.6

d)

4.1

21.

Which verbal expression best represents the algebraic expression 3n - 4?

a)

three less than four times a number

b)

four less than three times a number

c)

three times four subtracted from a number

d)

four times the difference of a number and three

22.

Anita brings 6 dolls to her grandma's house. These dolls represent 20% of Anita's doll collection. What is the total number of dolls in Anita's doll collection?

a)

30

b)

24

c)

36

d)

40

23.

Let x represent any number in the set of even integers greater than 1. Which inequality is true for all values of x?

a)

x < 0

b)

x > 0

c)

x < 4

d)

x > 4

24.

Evaluate the expression 120n + 160,500 when n = 32.

a)

164,340

b)

165,000

c)

170,000

d)

160,000

25.

What is the value of 0.230.2^3 ? Enter your answer in the box.

a)

0.008

b)

0.02

c)

0.04

d)

0.06

26.

The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes. Part A: On Monday, the baker makes 36 blueberry muffins. What is the total number of muffins that the baker makes on Monday?

a)

90 muffins

b)

80 muffins

c)

100 muffins

d)

120 muffins

27.

The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes. Part B: On Tuesday, the baker makes a total of 60 muffins. How many blueberry muffins does the baker make on Tuesday?

a)

20 blueberry muffins

b)

24 blueberry muffins

c)

30 blueberry muffins

d)

36 blueberry muffins

28.

Points J and K, plotted on the coordinate grid, are two vertices of rectangle JKLM. Rectangle JKLM has an area of 7 square units. Point J is located at (2, 1), and point K is located at (−5, 1). Each vertex of the rectangle is located at a point that has integer coordinates. Part A: Which points could be another vertex of the rectangle? Select each correct answer.

a)

(−5, 2)

b)

(2, 0)

c)

(2, −6)

d)

(1, 1)

e)

(−5, 0)

29.

A student made two patterns to show multiplication of a decimal by powers of ten. The equations shown for both patterns are incorrect. Explain why the equations in each of the patterns are false.

a)

The equations are false because multiplying by powers of ten should move the decimal point to the right, not add zeros.

b)

The equations are false because multiplying by powers of ten should add zeros to the end of the number.

c)

The equations are false because multiplying by powers of ten should move the decimal point to the left, not add zeros.

d)

The equations are false because multiplying by powers of ten should not change the number.

30.

The students in a club are selling flowerpots to raise money. Each flowerpot sells for $15. Part A Write an expression that represents the total amount of money, in dollars, the students raise from selling x flowerpots. Enter your expression in the box provided. Enter only your expression.

a)

15x

b)

x + 15

c)

15 - x

d)

15/x

31.

The goal of the students in the club was to raise $500. Each flower pot sells for $15. They sold 43 flower pots. By what amount did the students exceed their goal of raising $500?

a)

$100

b)

$150

c)

$145

d)

$250

32.

Points P, Q, and R are shown on the number line. What is the distance between points P and R?

a)

0.2 units

b)

0.9 units

c)

4 units

d)

9 units

33.

Point S is a different point on the number line. Point S and point R are the same distance from point Q. What is the location of point S on the number line?

a)

Point S is to the left of point Q at the same distance as point R is to the right.

b)

Point S is to the right of point Q at the same distance as point R is to the left.

c)

Point S is at the midpoint between point Q and point R.

d)

Point S is at the same location as point R.

34.

Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie save by using the coupon?

a)

$6.75

b)

$5.00

c)

$4.50

d)

$3.75

35.

A total of 300 trees will be planted in a park. There will be 2 pine trees planted for every 3 maple trees planted. How many pine trees and maple trees will be planted?

a)

120 pine trees and 180 maple trees

b)

150 pine trees and 150 maple trees

c)

180 pine trees and 120 maple trees

d)

200 pine trees and 100 maple trees

36.

Jill bought a pound of strawberries for $4.00. What is the price, in dollars, per ounce of strawberries?

a)

$0.25 per ounce

b)

$0.20 per ounce

c)

$0.30 per ounce

d)

$0.15 per ounce

37.

Which expressions represent the "sum of 3 and n"? Select all that apply.

a)

3n

b)

n + 3

c)

3 + n

d)

n + n + n

e)

n3n^3

38.

Brianna's teacher asks her which of these three expressions are equivalent to each other. Determine which of the three expressions are equivalent.

a)

Expression A and Expression B are equivalent.

b)

Expression A and Expression C are equivalent.

c)

Expression B and Expression C are equivalent.

d)

None of the expressions are equivalent.

39.

Kellie bought 8 towels and spent $39.60. Each towel costs the same amount. What is the price, in dollars, of 1 towel?

a)

4.95

b)

5.00

c)

4.50

d)

4.85

40.

What is the value of a2+3b÷c−2da^2 + 3b ÷ c - 2d , when a = 3, b = 8, c = 2, and d = 5?

a)

5

b)

10

c)

15

d)

20

41.

Maggie is making a necklace using a 13-inch string and identical beads. Maggie has placed 12 beads next to each other starting at the left end of the string as shown in the figure. The 12 beads fill 3 inches of the string. How many beads will it take to fill the entire string?

(a)  

42.

One size of cardboard can be purchased in sheets that are 3/16 inch thick. The sheets of cardboard are stacked on top of each other in packages. The height of each stack is 2 1/4 inches. How many sheets of cardboard are in a stack?

a)

12 sheets

b)

10 sheets

c)

15 sheets

d)

12.5 sheets

43.

The variable x represents a value in the set {4, 6, 7, 8}. Which value of x makes 2(x - 4) + 3 = 7 a true statement?

a)

4

b)

6

c)

7

d)

8