Free Printable 数学基础QUIZ

1.

$\frac{x}{5}=9$

a)

x = 4

b)

x = 14

c)

x = 45

2.

3w = 12

a)

w=9

b)

w=4

c)

w=3

d)

w=15

3.

$\frac{6}{4}=\frac{3}{y}$

a)

y=1

b)

y=2

c)

y=3

d)

y=4

4.

There were 28 bouncy balls in the bucket.

If they were shared among 7 friends, how many would each friend get?

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5.

$\frac{3}{8}x\ =\ 6$

a)

x=16

b)

x=8

c)

x=24

d)

x=48

6.

$\frac{7}{4}r\ =\ -14$

a)

r=-8

b)

r=3

c)

r=-3

d)

r=8

7.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

d)

-12

8.

Solve the following equations:

3x + 2 = 8

a)

x=2

b)

x=3

c)

x=4

d)

x=5

9.

$-4+\frac{1}{2}x=8$

a)

6

b)

8

c)

12

d)

24

10.

-4x - 4 = 16

a)

x=20

b)

x=5

c)

x=3

d)

x=-5

11.

$\frac{v+9}{3}=8$

a)

v=60

b)

v=-3

c)

v=3

d)

v=15

12.

$\frac{y}{4}-11=-55$

a)

y=-132

b)

y=4

c)

y=-176

d)

y=-244

13.

$\frac{2x-3}{4}=9$

a)

x=24

b)

x=12

c)

x=19.5

d)

x=17.5

14.

$3y+5=35$

a)

y=5

b)

y=10

c)

y=20

d)

y=13.33

15.

What is the solution to the equation: $8-2x=214$

a)

x=-103

b)

x=-100

c)

x=-107

d)

x=-110

16.

Trevon's Bikes rents bikes for $18 plus $8 per hour. Jaidee paid $74 to rent a bike. Write an equation to model the situation, using C for total cost and h for hours. For how many hours did she rent the bike?

a)

C= 18h + 8; 14 hours

b)

C= 8h+18; 7 hours

c)

C= 8h + 18; 3 hours

d)

H= 8C + 18; 8 hours

17.

$3x+5=-3x+17$

a)

x=2

b)

x=-2

c)

x=6

d)

x=12

18.

What number satisfies the equation

$80−3k=5k+8$

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19.

Solve: $3+7x=6x−4$

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20.

$−5a+4a=−5−2a$

a)

a=5

b)

a=-5

c)

a=2

d)

a=-2

21.

$−5x−(−7−4x)=−2(3x−4)$

a)

x=3

b)

x=5

c)

x= 1/3

d)

x= 1/5

22.

Solve the following equation for x:

$a(x−3)+5=2(x+1)$

a)

$x=\frac{2-2a}{a-2}$

b)

$x=\frac{3a-3}{a+2}$

c)

$x=\frac{4}{a-2}$

d)

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

23.

Alycia earned RM20.40 in 3 hours. What is her unit rate in dollars per hour?

a)

RM7 per hour

b)

RM6 per hour

c)

RM6.80 per hour

d)

RM17.40 per hour

24.

A shoe sales associate earned RM 300 in August. In September she earned 8% more than she did in August. How much did she earn in September?

a)

RM 164

b)

RM 256

c)

RM 404

d)

RM 324

25.

Find the tip only. RM 75. 45 steak dinner; 18% tip

a)

RM 61.87

b)

RM 135.80

c)

RM 13.58

d)

RM 89.03

26.

Ralph sells a motorcycle for RM 7800 on Ebay. Ebay charges Ralph a 6% fee on the selling price. How much did Ralph get in total for the motorcycle after paying the Ebay fee?

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27.

A recipe that will make 3 pies calls for 7 cups of flour. Determine how many pies can be made with 28 cups of flour.

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28.

Grant paid RM 12 for 4 baseball card packs. How many baseball card packs can he purchase for RM 21?

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29.

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

a)

$3:5$

b)

$1：3$

c)

$3:11$

d)

$3:10$

30.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

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31.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

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32.

What is it called when you set two ratios equal to each other?

a)

Proportion

b)

Fraction

c)

Ratio

d)

Congruent

33.

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

a)

8 minutes

b)

9 minutes

c)

16 minutes

d)

18 minutes

34.

Which of the following shows the least expensive unit price?

a)

3 oranges for RM 1.02

b)

4 oranges for RM 1.52

c)

5 oranges for RM 1.75

d)

6 oranges for RM 2.46

35.

There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?

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36.

Daniel spent RM 2.00 for 20 pieces of gum. Jude spent RM 1.50 for 10 pieces of gum. Who got the better deal?

a)

Daniel

b)

Jude

37.

What is the equivalent percent to 0.05?

a)

50%

b)

500%

c)

5%

d)

0.05%

38.

What is the equivalent decimal to 39%?

a)

0.039

b)

0.39

c)

3.9

d)

39.00

39.

There are 60 girls and 90 boys in the sixth grade at a middle school. Of these students, 3 girls and 9 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?

a)

15%

b)

5%

c)

10%

d)

8%

40.

Evan bought a pair of shoes for RM 120. There was a discount on the shoes for 10% off and the tax was 5%. What is the total price?

a)

RM 105.46

b)

RM 113.40

c)

RM 108.00

d)

RM 109.36

41.

What percent of 50 is 20?

a)

40%

b)

25%

c)

5%

d)

4%

42.

Tauqeer Rauf spent RM 210 on school supplies and books. This amount was 30% of his savings. How much was his savings?

a)

RM 63

b)

RM 700

c)

RM 630

d)

RM 763

43.

The sales tax on a new car is RM 979.60. The car sold for RM 15,800. What is the sales tax rate?

a)

0.62

b)

0.062

c)

6.2%

d)

62%

44.

$(2x^2+5x-7)+(3-4x^2+6x)$

a)

$2x^2+3x+1$

b)

$-2x^2-11x-4$

c)

$2x^2+5x-7$

d)

$-2x^2+11x-4$

45.

What is cos 60°?

a)

$\frac{1}{2}$

b)

$\sqrt{3}/2$

c)

$\sqrt{2}/2$

d)

1

46.

What is sin 45°?

a)

1

b)

$\sqrt{3}/2$

c)

$\frac{1}{2}$

d)

$\sqrt{2}/2$

47.

Are the size of angle x, y and z the same?

a)

No, because the angles are not at the circumference of the circle

b)

Yes, because the arc length is the same

c)

Yes, because the height angles x,y and z is the same

d)

No, because the arc length is proportional

48.

The diagram shows a circle. Determine the value of x.

a)

44°

b)

46°

c)

47.5°

d)

49°

49.

The diagram shows a circle. Calculate the value of x.

a)

21°

b)

32°

c)

64°

d)

128°

50.

Determine the value of x and y.

a)

x=80°,y=80°x

b)

x=80°,y=40°

c)

x=40°,y=80°

d)

x=40°,y=40°

51.

Find the values of angles x and y.

a)

x=32°,y=16°

b)

x=32°,y=32°

c)

x=16°,y=32°

d)

x=16°,y=16°

52.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

53.

If the m∠7 = 115°,m∠7 = 115°, find the measure of ∠2.

a)

115°

b)

65°

c)

180°

d)

Cannot be determined

54.

If the m∠5 = 63°, find the measure of ∠3.

a)

63°

b)

117°

c)

180°

d)

Cannot be determined

55.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

56.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
37

b)

Alternate Interior
143

c)

Corresponding
143

d)

Corresponding
37

57.

∠3 and ∠7 are ___.

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same-side Interior Angles

d)

None of these

58.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

59.

x²- 25

a)

( x + 5 ) ( x + 5 )

b)

( x + 5 ) ( x - 5)

c)

( x - 5 ) ( x - 5 )

60.

25x²y²- 100

a)

( 5xy - 10) (5xy + 10)

b)

( 5xy + 10) (5xy + 10)

c)

( 5xy - 50) (5xy + 50)

61.

Factor p³- 3p² - 16p + 48

a)

p² ( p - 3) (p - 3)

b)

(p² - 16) (p - 3)

c)

(p + 4) (p - 4) (p - 3)

62.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

63.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

64.

The solutions of the quadratic equation
x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

65.

What are the solutions of the equation x²+8x+15=0? (Solve by factoring)

(选择对的答案，答案可超过一个）

a)

-5

b)

-3

c)

5

d)

3

66.

Factorize 3x+9

(选择正确的答案，答案可以超过一个）

a)

3

b)

(x+3)

c)

9

d)

3x

e)

(x-3)

67.

What is the greatest common factor of 18 , 9 , 48 and 27

a)

3

b)

15

c)

9

d)

18

68.

The factors of a⁴ - b⁴ is _____

a)

(a² + b²) (a² + b²)

b)

(a² - b²) (a² - b²)

c)

(a² + b²) (a + b) (a - b)

d)

None of these

69.

Which are the factors in common of

20ab²-5ab-10a³b

a)

5ab

b)

5a³b²

c)

5a³b

70.

Are there any common factors? What are they?

4x²(2w-3)-5(2w-3)

a)

4x²

b)

2w

c)

(2w-3)

71.

FACTORISE:

6x² + 13x + 6

a)

(6x + 6)(x + 1)

b)

(4x + 2)(2x + 3)

c)

(x + 5)(4x + 4)

d)

(3x + 2)(2x + 3)

72.

What is the factored form of x³ + 2x² - x-2

a)

(x+1)(x - 1 )(x+2)

b)

(x+1)(x - 2 )(x+2)

c)

(x²+1)(x+2)

d)

(2 +x)(x² - 1)

73.

What is the factored form of x² - y²- z² - 2yz?

a)

(x - y - z)(x - y+z)

b)

(x + y - z)(x - y - z)

c)

(x - y + z)(x + y+z)

d)

(x - y - z)(x + y+z)

74.

Using a Factor Tree, find the prime factorization of 75.

a)

5² x 3

b)

5 x 5 x 3

c)

3² x 5

d)

15 x 5

75.

Write 68 as a product of its prime factors.

a)

2x34

b)

4x17

c)

2x2x17

d)

2x3x17

76.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

77.

Solve using long division. ( $x^2$ +2x − 63)÷(x+9)

a)

x−7

b)

$x^2$ −7

c)

x+7

d)

$x^2$ +3x−54

78.

What is (5x²-2x-4) + (x² - 2x + 3)

a)

6x² - 4x - 1

b)

6x² + 4x + 1

c)

6x²- 4x + 1

d)

6x² + 4x - 1

79.

What is (3x² + 2x - 6) - (2x² - 3x + 1)

a)

x² + 5x + 5

b)

x² - 5x - 7

c)

x² + 5x - 7

d)

x² - 5x + 7

80.

Solve:

a)

2x - 5

b)

x - 4

c)

x + 4

d)

2x + 4

81.

(5p²+5p-26)÷(p+3)

a)

5p-10, R 4

b)

5p-12, R 1

c)

5p-13, R 8

d)

5p-10, R 5

82.

a)

x-8

b)

x-5

c)

x+8

d)

x+5

83.

Solve using long division. ( $x^2$ +2x − 63)÷(x+9)

a)

x−7

b)

$x^2−7$

c)

x+7

d)

$x^2+3x−54$

84.

Which term is missing in this problem? (2x³ + 5x² + 9 )÷ (x + 3)

a)

x⁴

b)

x³

c)

x²

d)

x

85.

Evaluate.
log₃81

a)

4

b)

¹/₄

c)

-4

d)

-¹/₄

86.

Simplify: $2\log⁡_3(11x)$

a)

$\log_3(121x)$

b)

$\log_3(121x^2)$

c)

$\log_3(22x)$

d)

$\log_3(11x^2)$

87.

Write in logarithmic form:

3⁵ = 243

a)

log₅243 = 3

b)

log₃243 = 5

c)

log₂₄₃3 = 5

d)

log₃5 = 243

88.

log₃5 = 243

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89.

a)

A

b)

B

c)

C

d)

D

90.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

91.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

92.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

93.

If triangles ADE and ABC shown in the figure above are similar, what is the value of x?

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94.

A 6 foot tall man casts a shadow that is 9 feet long. He is standing next to a child who casts a shadow 6 feet long. How tall is the child?

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95.

The pair of figures are similar.
Find the missing side.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

96.

Find the missing angle.

a)

75^o

b)

85^o

c)

100^o

d)

45^o

97.

What is the value of x?

a)

4^o

b)

360^o

c)

12^o

d)

6^o

98.

Find x and y

a)

x = 18, y = 9

b)

x = 15, y = 12

c)

x = 17, y = 8

d)

x = 21, y = 17

99.

Find the size of angle x

a)

51^o

b)

127^o

c)

66^o

d)

76^o

100.

Find the area of the figure.

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101.

Find the area of the trapezoid. (follow steps on board)

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102.

Find the length of the missing side

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103.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

104.

Mrs. Adele is buying a new tie from Macy's. It says the tie costs RM15.00 but there is a sign above it that says 25% off. How much will the tie cost?

a)

RM3.75

b)

RM18.75

c)

RM15.25

d)

RM11.25

105.

A pair of boots are RM94.99. They are 25% off. With this discount, what is the sale price? Round to nearest cent if necessary.

a)

RM71.24

b)

RM118.74

c)

RM23.75

数学基础QUIZ

Total questions: 105

Worksheet time: 2hrs 32mins

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