K12 MATH TEST THIRTEEN, · K12 Math Placement Assessment #13 Circle the letter next to the correct answer. Assessment. 2 of 7 10. Evaluate the expression. 9 + 16 A. 16 B. 25 C. 7

1 of 7

1. Evaluate the expression if p = 2.

67p + 199p

A. 2664

B. 333 C. 532

D. 270

2. Simplify.

34 + 16 × 2 – 29

A. 71

B. 37 C. 42

D. 26

3. Evaluate the expression if t = 12, w = 10, x = 9, y = 4, and z = 3.

tw ÷ z + xy

A. 53

B. 37 C. 76

D. 62

4. Choose the variable expression for the following word phrase.

The product of a number y and 16 increased by 64.

A. 16y + 64 B. 16 + y + 64 C. y + 16 × 64 D. 64y + 16

5. Simplify.

97 – 75 ÷ 5 × 3 + 68

A. 120 B. 81.2

C. 160

D. 69.5

6. Simplify.

3.9 × 8.2

A. 31.58

B. 31.88 C. 31.78

D. 31.98

Name Date

SCORE: out of 6 correct

© 2005 K12 Inc. All rights reserved.

Copying or distributing without K12’s written consent is prohibited. K12 Math Placement Assessment #13

Circle the letter next to the correct answer.

Assessment

2 of 7

10. Evaluate the expression.

9 + 16

A. 16 B. 25 C. 7 D. 5

9. A circle has radius 50 mm. Find the circumference. Use π ≈ 3.14. A. 314 mm B. 157 mm C. 53.14 mm D. 7850 mm

8. Classify the triangle using the following information.

Two sides are congruent. The angles opposite the congruent sides are congruent and measure 10°.

A. scalene right triangle B. isosceles obtuse triangle C. equilateral acute triangle D. isosceles acute triangle

7. Write 212,000,000 in scientific notation.

A. 2.12 × 105 B. 2.12 × 108 C. 2.12 × 10–5 D. 2.12 × 10–8

+ 37

11. Express as a decimal. A. 0.579 B. 3.0 C. 17.3 D. 1.72

12. Find the greatest common factor of the following set of numbers.

78 and 91 A. 3 B. 11 C. 13 D. 24





Assessment

3 of 7

15. Evaluate the expression if y = 15.

420 ÷ y

A. 28 B. 105 C. 435 D. 6300

17. Simplify.

0.04 × 1000 A. 0.4 B. 4 C. 40 D. 400

18. Marcus scored 210 points in all during basketball season. If he averaged 15 points per game, in how many games did he play? A. 12 games B. 14 games C. 16 games D. 18 games

13. Compare. Choose <, >, or = to make a true number sentence.

? A. < B. > C. =

78

56

14. A point on the equator travels about 40,000 km every 24 hours because of the Earth’s rotation. How long does it take a point on the equator to travel 95,000 km?

A. 48 hours B. 57 hours

C. 84 hours

D. 96 hours

16. Which equation can be used to find the sum of the angle measures in the triangle below?

A. 60 + 90 = x B. 60 + x = 180 C. 60 + 45 + x = 180 D. 60 + 90 + x = 180

60

x





Assessment

4 of 7

23. Express the ratio as a fraction in lowest terms.

3 in. to 3 ft

A.

B.

C.

D.

21. Evaluate 225 .

A. 5 B. 8 C. 9 D. 15

22. Which fraction is between the two given fractions?

A.

B.

C.

D.

24. Evaluate the expression if x = 4, y = 14, and z = 10.

yz – 10x A. 140 B. 100 C. 14 D. 10

19. A 12-in.-long steel cable weighs 0.428 lb. How much does an 11.4-ft-long cable weigh?

A. 4.9 lb B. 40.7 lb C. 40.6 lb D. 487.9 lb

20. The curve in the diagram below is part of a circle. Find the perimeter of the figure.

A. 15.7 B. 25.7 C. 35.7 D. 45.7

10

36 3

3 3

1 12

2 9





Assessment

5 of 7

29. Complete.

12 ÷ ? =

A. 1 B. 12 C. 13 D. 3

30. In the local zoo, there is a total of 26 snakes, 10 penguins, 7 gorillas, and 2 panda bears. What fraction of the zoo animals do gorillas represent?

A.

B.

C.

D.

25. The supplement of an 85° angle has measure _____. A. 95° B. 5° C. 85° D. 275°

26. The complement of a 53° angle has measure _____ A. 47° B. 307° C. 127° D. 37°

27. Choose the prime factorization of 360. A. 24 • 32 • 50

B. 22 • 33 • 52

C. 23 • 32 • 5 D. 2 • 34 • 53

28. Find A B.

A = {1, 5, 7, 12} B = {3, 5, 7} A. A B = {1, 3, 5, 7, 12} B. A B = {5, 12} C. A B = {1, 3, 12} D. A B = {5, 7, 12}

7 38

7 10

7 26

7 45





Assessment

6 of 7

31. If the scale of a drawing is 1 cm : 15 m, what length on the drawing represents an actual length of 40 m?

A. 0.375 cm B. 7.666 cm C. 0.375 m D. 2.666 m

33. Evaluate the expression if r = 3 and x = 12.

20r – x

A. 11 B. 48 C. 58 D. 72

34. Choose the equation for the word sentence below.

Sarah is n years old now and will be twenty-one years old in eight years. A. 21 + 8 = n B. n – 21 = 8 C. n + 8 = 21 D. 21 × 8 = n

32. Solve.

A. n = 72 B. n = 64 C. n = 18 D. n = 32

35. Which is the inequality for the word sentence?

Seventeen is between twelve and twenty-three.

A. 17 > 12 > 23 B. 12 > 17 > 23 C. 17 > 23 > 12 D. 12 < 17 < 23

36. Solve by using inverse operations.

7x < 168 A. x < 24 B. x > 24 C. 168x < 7 D. 168x > 7





Assessment

7 of 7

37. Evaluate if a = 4 and b = 6.

a3 – b2

A. 24 B. 15 C. 28 D. 16

38. Simplify.

15.6 ÷ 2.4

A. 0.065 B. 0.65 C. 6.5 D. 65

39. Divide and write as a mixed number in lowest terms.

A. 1

B. 1

C. 2

D. 30

40. A recipe for 2 dozen chocolate chip

cookies calls for tablespoons of vanilla. Jamie wants to make 30 cookies. How many tablespoons of vanilla should he use?

A. 3 tablespoons

B. 6 tablespoons

C. 3 tablespoons

D. 6 tablespoons

2 3

2 3

1 3

1 3

SCORE: out of 4 correctTOTAL SCORE: out of 40 correct




Assessment

1 of 7

1. Evaluate the expression if p = 2.

67p + 199p

A. 2664

B. 333 C. 532

D. 270

2. Simplify.

34 + 16 × 2 – 29

A. 71

B. 37 C. 42

D. 26

3. Evaluate the expression if t = 12, w = 10, x = 9, y = 4, and z = 3.

tw ÷ z + xy

A. 53

B. 37 C. 76

D. 62

4. Choose the variable expression for the following word phrase.

The product of a number y and 16 increased by 64.

A. 16y + 64 B. 16 + y + 64 C. y + 16 × 64 D. 64y + 16

5. Simplify.

97 – 75 ÷ 5 × 3 + 68

A. 120 B. 81.2

C. 160

D. 69.5

6. Simplify.

3.9 × 8.2

A. 31.58

B. 31.88 C. 31.78

D. 31.98

Name Date





Assessment

2 of 7

10. Evaluate the expression.

9 + 16

A. 16 B. 25 C. 7 D. 5

9. A circle has radius 50 mm. Find the circumference. Use π ≈ 3.14. A. 314 mm B. 157 mm C. 53.14 mm D. 7850 mm

8. Classify the triangle using the following information.

Two sides are congruent. The angles opposite the congruent sides are congruent and measure 10°.

A. scalene right triangle B. isosceles obtuse triangle C. equilateral acute triangle D. isosceles acute triangle

7. Write 212,000,000 in scientific notation.

A. 2.12 × 105 B. 2.12 × 108 C. 2.12 × 10–5 D. 2.12 × 10–8

+ 37

11. Express as a decimal. A. 0.579 B. 3.0 C. 17.3 D. 1.72

12. Find the greatest common factor of the following set of numbers.

78 and 91 A. 3 B. 11 C. 13 D. 24





Assessment

3 of 7

15. Evaluate the expression if y = 15.

420 ÷ y

A. 28 B. 105 C. 435 D. 6300

17. Simplify.

0.04 × 1000 A. 0.4 B. 4 C. 40 D. 400

18. Marcus scored 210 points in all during basketball season. If he averaged 15 points per game, in how many games did he play? A. 12 games B. 14 games C. 16 games D. 18 games

13. Compare. Choose <, >, or = to make a true number sentence.

? A. < B. > C. =

78

56

14. A point on the equator travels about 40,000 km every 24 hours because of the Earth’s rotation. How long does it take a point on the equator to travel 95,000 km?

A. 48 hours B. 57 hours

C. 84 hours

D. 96 hours

16. Which equation can be used to find the sum of the angle measures in the triangle below?

A. 60 + 90 = x B. 60 + x = 180 C. 60 + 45 + x = 180 D. 60 + 90 + x = 180

60

x





Assessment

4 of 7

23. Express the ratio as a fraction in lowest terms.

3 in. to 3 ft

A.

B.

C.

D.

21. Evaluate 225 .

A. 5 B. 8 C. 9 D. 15

22. Which fraction is between the two given fractions?

A.

B.

C.

D.

24. Evaluate the expression if x = 4, y = 14, and z = 10.

yz – 10x A. 140 B. 100 C. 14 D. 10

19. A 12-in.-long steel cable weighs 0.428 lb. How much does an 11.4-ft-long cable weigh?

A. 4.9 lb B. 40.7 lb C. 40.6 lb D. 487.9 lb

20. The curve in the diagram below is part of a circle. Find the perimeter of the figure.

A. 15.7 B. 25.7 C. 35.7 D. 45.7

10

36 3

3 3

1 12

2 9





Assessment

5 of 7

29. Complete.

12 ÷ ? =

A. 1 B. 12 C. 13 D. 3

30. In the local zoo, there is a total of 26 snakes, 10 penguins, 7 gorillas, and 2 panda bears. What fraction of the zoo animals do gorillas represent?

A.

B.

C.

D.

25. The supplement of an 85° angle has measure _____. A. 95° B. 5° C. 85° D. 275°

26. The complement of a 53° angle has measure _____ A. 47° B. 307° C. 127° D. 37°

27. Choose the prime factorization of 360. A. 24 • 32 • 50

B. 22 • 33 • 52

C. 23 • 32 • 5 D. 2 • 34 • 53

28. Find A B.

A = {1, 5, 7, 12} B = {3, 5, 7} A. A B = {1, 3, 5, 7, 12} B. A B = {5, 12} C. A B = {1, 3, 12} D. A B = {5, 7, 12}

7 38

7 10

7 26

7 45





Assessment

6 of 7

31. If the scale of a drawing is 1 cm : 15 m, what length on the drawing represents an actual length of 40 m?

A. 0.375 cm B. 7.666 cm C. 0.375 m D. 2.666 m

33. Evaluate the expression if r = 3 and x = 12.

20r – x

A. 11 B. 48 C. 58 D. 72

34. Choose the equation for the word sentence below.

Sarah is n years old now and will be twenty-one years old in eight years. A. 21 + 8 = n B. n – 21 = 8 C. n + 8 = 21 D. 21 × 8 = n

32. Solve.

A. n = 72 B. n = 64 C. n = 18 D. n = 32

35. Which is the inequality for the word sentence?

Seventeen is between twelve and twenty-three.

A. 17 > 12 > 23 B. 12 > 17 > 23 C. 17 > 23 > 12 D. 12 < 17 < 23

36. Solve by using inverse operations.

7x < 168 A. x < 24 B. x > 24 C. 168x < 7 D. 168x > 7





Assessment

7 of 7

37. Evaluate if a = 4 and b = 6.

a3 – b2

A. 24 B. 15 C. 28 D. 16

38. Simplify.

15.6 ÷ 2.4

A. 0.065 B. 0.65 C. 6.5 D. 65

39. Divide and write as a mixed number in lowest terms.

A. 1

B. 1

C. 2

D. 30

40. A recipe for 2 dozen chocolate chip

cookies calls for tablespoons of vanilla. Jamie wants to make 30 cookies. How many tablespoons of vanilla should he use?

A. 3 tablespoons

B. 6 tablespoons

C. 3 tablespoons

D. 6 tablespoons

2 3

2 3

1 3

1 3

SCORE: out of 4 correctTOTAL SCORE: out of 40 correct




Assessment

Documents

K12 MATH TEST THIRTEEN, · K12 Math Placement Assessment #13 Circle the letter next to the correct answer. Assessment. 2 of 7 10. Evaluate the expression. 9 + 16 A. 16 B. 25 C. 7