Free Printable End of the Year Math Review

1.

$4\ -\ 3\ +\ 18\ \div\ 6$ = (a)

2.

Which expression is correct for the number line?

a)

4 - (-6)

b)

4 + (-2)

c)

4 + 6

d)

4 + (-6)

3.

What is the absolute value of the number on the number line?

a)

-3

b)

3

c)

none of these

4.

$12\ +\ \left(-5\ \right)$ = (a)

5.

$-8\cdot\left(-10\right)$ = (a)

6.

$\frac{-48}{-6}$ = (a)

7.

Sally has $24 in her purse. She pays $8 to have her car washed. Which expressions represents this situation? Select ALL that apply.

a)

$24-8$

b)

$-24\ +\ 8$

c)

$24\ +\ \left(-8\right)$

d)

$24\ +\ 8$

e)

$24-\left(-8\right)$

8.

Simplify $\left(x^4\right)^5$

a)

$x^{20}$

b)

$x^9$

c)

$x^1$

d)

$x^{-1}$

9.

Simplify $\frac{8^9}{8^6}$

a)

$8^3$

b)

$8^{15}$

c)

$8^{54}$

d)

$8^{-3}$

10.

Rewrite using only positive exponents.

\frac{a^{-2}}{b^{-5}}

a)

$\frac{a^2}{b^5}$

b)

$\frac{b^5}{a^2}$

c)

$\frac{b^2}{a^5}$

d)

$-\frac{b^5}{a^2}$

11.

Classify -25. Check ALL that apply. Use your Venn Diagram.

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

12.

Write $\frac{7}{8}$ as a decimal. (Divide)

a)

7.8

b)

0.875

c)

8.75

d)

0.78

13.

Write 2.55 as a mixed number in simplest form. (Get excited, upside down and simplify.)

a)

$2\ \frac{55}{100}$

b)

$2\ \frac{11}{20}$

c)

$2\ \frac{11}{50}$

d)

$2\ \frac{55}{1000}$

14.

Compare $-\frac{5}{8}$ _____ $-\frac{3}{5}$

a)

$<$

b)

$>$

c)

$=$

15.

Add $\frac{3}{9}\ +\ \frac{1}{2}$ . Simplify your answer.

(Get a common denominator, rename, add, and simplify.)

a)

$\frac{4}{11}$

b)

$\frac{15}{18}$

c)

$\frac{5}{6}$

d)

$\frac{5}{12}$

16.

Subtract $6\ \frac{3}{10}\ -\ 5\ \frac{7}{10}$ . Simplify your answer.

(Borrow, subtract, and simplify.)

a)

$1\ \frac{4}{10}$

b)

$1\ \frac{2}{5}$

c)

$\frac{6}{10}$

d)

$\frac{3}{5}$

17.

Multiply $2\ \frac{1}{2}\ \times\ 4\ \frac{2}{5}$ . Simplify your answer.

(Change to improper fraction, multiply across, and simplify.)

a)

$\frac{110}{10}$

b)

$8\ \frac{2}{10}$

c)

$\frac{22}{2}$

d)

11

18.

Divide $2\ \frac{1}{3}\ \div\ \frac{2}{3}$ . Simplify your answer.

(Change to improper fractions, KFC, multiply across, and simplify.)

a)

$3\ \frac{3}{6}$

b)

$\frac{7}{2}$

c)

$3\ \frac{1}{2}$

d)

$1\ \frac{5}{9}$

19.

Name the property shown:

45 + 14 = 14 + 45

a)

Associative Property of Multiplication

b)

Associative Property of Addition

c)

Commutative Property of Addition

d)

Commutative Property of Multiplication

20.

Use the distributive property to rewrite the expression:

3(a - 4)

a)

3a - 4

b)

a - 12

c)

3a - 12

d)

9a

21.

What is the value of $\frac{10b}{a}$ if $a\ =\ 2$ and $b\ =\ 6$ ?

a)

53

b)

30

c)

8

d)

2

22.

Find the GCF of 15gh and 35ghi.

a)

5

b)

5gh

c)

gh

d)

15gh

23.

Factor 12x + 30y

a)

6(2x + 5y)

b)

2(6x + 15y)

c)

6xy(2 + 5)

d)

2xy(6 + 15)

24.

Simplify:

3 - 2a + 3a + 5a

a)

10a - 3

b)

-10a + 3

c)

12a

d)

6a + 3

25.

Add:

(6x + 8) + (-7x - 11)

a)

14x - 18

b)

-x + 3

c)

-x - 3

d)

14x + 18

26.

Subtract:

(8x + 4) - (13x + 1)

a)

-5x + 3

b)

21x + 3

c)

-5x + 5

d)

21x - 3

27.

Translate 8 more than 3 times a number into an algebraic expression.

a)

8 + 3x

b)

3x + 8

c)

8x + 3

d)

3 + 8x

28.

Solve:

4x\ +\ 1\ =\ -15

a)

$x\ =\ -3.5$

b)

$x\ =\ -4$

c)

$x\ =\ -12$

d)

$x\ =\ -20$

29.

Solve:

\frac{2}{3}x\ =\ 4

a)

$x\ =\ 6$

b)

$x\ =\ 3\ \frac{1}{3}$

c)

$x\ =\ 2\ \frac{2}{3}$

d)

$x\ =\ 1\ \frac{1}{2}$

30.

Solve:

-8x + 3 = -29

a)

x = 256

b)

x = 4

c)

x = 3

d)

x = -40

31.

Solve:

4(x + 3) = 4

a)

x = -8

b)

x = -2

c)

x = 2

d)

x = 4

32.

Solve:

2a + 4 > -8

a)

a > -12

b)

a < 12

c)

a > -6

d)

a < 6

33.

Solve:

-2b - 4 > -2

a)

b > -1

b)

b < -1

c)

b > 2

d)

b < 4

34.

Which size package of pasta has the lowest unit price?

3 oz for $0.99

8 oz for $2.56

16 oz for $5.60

a)

The 3 oz package

b)

The 8 oz package

c)

The 16 oz package

35.

True or False?

$\frac{9}{21}and\ \frac{117}{294}$ are proportional.

a)

True

b)

False

36.

What is the value of x?

$\frac{6}{18}=\frac{x}{27}$

$x=$ (a)

Type the number only!

37.

On a test, Suzy answered the first 32 questions in 12 minutes. There are 64 questions on the test. If she continues to answer questions at the same rate, how long will it take her to finish the test?

a)

6 min

b)

12 min

c)

20 min

d)

24 min

38.

The graph shows a proportional relationship. What is the constant of proportionality (k)?

a)

k = 2

b)

k = 1

c)

k = 4

d)

k = 6

39.

Determine if the chart is showing a proportional relationship. If it is, then find the constant of proportionality (k).

a)

Yes, k = 7

b)

Yes, k = 0.14

c)

Yes, k = 0.7

d)

The chart does not show a proportional relationship.

40.

Does this table represent a proportional relationship?

a)

Yes

b)

No

41.

What is 42% of 30?

a)

1,260

b)

12,600

c)

126

d)

12.6

42.

49 is what percent of 700?

a)

7%

b)

343%

c)

34.3%

d)

70%

43.

Practice time was 20 minutes last year. This year, it's 60 minutes. Find the percent of change. Round to the nearest percent.

a)

2% increase

b)

200% increase

c)

67% increase

d)

20% increase

44.

Dylan's mother ordered 100 slices of pizza for his party. 75 slices were actually eaten. What was his mother's percent error?

a)

25% error

b)

33% error

c)

75% error

d)

50% error

45.

How much is the tax on a $200 chromebook if the sales tax rate is 8%?

a)

$160

b)

$16

c)

$216

d)

$360

46.

Amaya bought some pajamas. The pajamas were regulary priced at $20, but are on sale for $12. What was the percentage of discount?

a)

70% off

b)

67% off

c)

60% off

d)

40% off

47.

Crystal deposits $1,000 in an account that pays 8% interest. What is the total amount in the account at the end of 3 months?

a)

$1,020

b)

$20

c)

$240

d)

$1,240

48.

A set of 10 cards is numbered 1 to 10. What is the P(multiple of 3) as a fraction in simplest form?

a)

$\frac{1}{10}$

b)

$\frac{2}{10}$

c)

$\frac{3}{10}$

d)

$\frac{1}{5}$

49.

Tammy flipped a coin 30 times. She flipped heads 18 times and tails 12 times. What is the experimental probability of flipping heads as a fraction in simplest form?

a)

$\frac{1}{2}$

b)

$\frac{3}{5}$

c)

$\frac{18}{30}$

d)

$\frac{9}{15}$

50.

Tammy flipped a coin 30 times. She flipped heads 18 times and tails 12 times. What is the theoretical probability of flipping heads as a fraction in simplest form?

a)

$\frac{1}{2}$

b)

$\frac{3}{5}$

c)

$\frac{18}{30}$

d)

$\frac{9}{15}$

51.

How many outcomes are possible when flipping a nickel and a penny and spinning a spinner with red, blue, yellow and green sections?

a)

16

b)

8

c)

4

d)

6

52.

Which is the best way to represent answering 25 multiple-choice questions with 4 choices for each answer?

a)

spin a spinner with four sections 25 times

b)

roll a die 25 times

c)

flip a coin 25 times

d)

roll a die 4 times

53.

A coin and a number cube are tossed. What is the probability of the coin landing on tails and the number cube landing on the number 3? Write your answer as a fraction in simplest form.

a)

$\frac{1}{12}$

b)

$\frac{1}{4}$

c)

$\frac{1}{8}$

d)

$\frac{1}{2}$

54.

What is the interquartile range (IQR) on the box plot? (a)

55.

What percent of the data is above 70?

a)

25%

b)

50%

c)

75%

d)

100%

56.

If 1,600 pets were treated, predict how many of them were dogs.

a)

640

b)

480

c)

64

d)

800

57.

Shan made 86, 94, 80, and 88 on her last four math quizzes. Find the mean.

a)

87

b)

88

c)

86

d)

348

58.

An insurance company asked their customers to go to their website and take a brief survey. Tell whether the statement is biased or unbiased and name the sample.

a)

Biased, Convenience

b)

Biased, Volunteer Response

c)

Unbiased, Simple Random

d)

Unbiased, Systematic Random

59.

The scale on a map is 1 inch = 105 miles. If the distance between two cities is 3.5 inches, what is the actual distance between the two cities?

a)

0.03 miles

b)

30 miles

c)

367.5 miles

d)

3,675 miles

60.

What is the length of the missing side?

a)

4

b)

16

c)

8

d)

12

61.

What is the circumference of the circle?

$C=\pi\cdot d$

a)

47.1 in

b)

176.625 in

c)

471 in

d)

23.55 in

62.

What is the area of the circle?

$A=r\cdot r\cdot\pi$

a)

$50.24\ cm^2$

b)

$25.12\ cm^2$

c)

$200.96\ cm^2$

d)

$12.56\ cm^2$

63.

What is the area of the triangle?

$A=b\cdot h\div2$

a)

$35\ units^2$

b)

$70\ units^2$

c)

$42\ units^2$

d)

$84\ units^2$

64.

What is the area of the trapezoid?

$A=\left(base1\ +base2\right)\times h\div2$

a)

$48\ in^2$

b)

$96\ in^2$

c)

$72\ in^2$

d)

$37\ in2$

65.

What is the surface area?

a)

$180\ in^2$

b)

$240\ in^2$

c)

$212\ in^2$

d)

$208\ in^2$

66.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Acute Isosceles

c)

Obtuse Isosceles

d)

Equiangular Equilateral

67.

What is the value of the missing angle?

a)

61

b)

50

c)

60

d)

69

68.

Which of the following side lengths form a triangle?

a)

1, 2, 3

b)

5, 7, 8

c)

6, 6, 14

d)

80, 20, 50

69.

Which of the following measures DO NOT make a triangle?

a)

4, 5, 6

b)

5, 5, 11

c)

10, 10, 1

d)

42, 21, 22

70.

1) How would we classify the triangle given the angle measures 35˚, 55˚, and 90˚?

a)

Uniquely defined

b)

Ambiguously defined

c)

Nonexistent

d)

Obtuse

71.

2) How would we classify the triangle given the angle measures 48˚, 72˚, and 65˚??

a)

Uniquely defined

b)

Ambiguously defined

c)

Nonexistent

d)

Obtuse

72.

5) How would we classify the triangle given sides that measure 3 inches, 8 inches, and 11 inches?

a)

Uniquely defined

b)

Ambiguously defined

c)

Nonexistent

d)

Acute

73.

3. Find ∠NOQ

a)

31

b)

59

c)

180

d)

149

74.

Find the value of x.

a)

15

b)

16

c)

18

d)

19

75.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

End of the Year Math Review

Total questions: 75

Worksheet time: 2hrs 53mins

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