Free Printable Specialty Unit 301 Revision

1.

Estimate. 2.6 x 9.2

a)

15

b)

18

c)

27

d)

35

2.

Estimate. 72.4 x 29.5

a)

210

b)

2100

c)

2500

d)

1400

3.

Estimate: 237.4 ÷ 6 =

a)

45

b)

30

c)

40

d)

35

4.

15 x 3 + 5 +10 =

a)

33

b)

30

c)

40

d)

60

5.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

6.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

7.

$-144\ \div\ -8\ =$

a)

12

b)

18

c)

-16

d)

-18

8.

$-9\ \times-12\ =$

a)

-108

b)

-72

c)

72

d)

108

9.

$-5\ +\ 1\ =$

a)

-6

b)

-4

c)

4

d)

6

10.

$-6\ +\left(-15\right)\ =$

a)

-21

b)

-9

c)

9

d)

11

11.

Find the product. Then, simplify.

a)

10/18

b)

5/9

c)

10/6

d)

15/12

12.

$\frac{17}{20}\ -\ \frac{3}{5}$

a)

$\frac{1}{4}$

b)

$1$

c)

$\frac{1}{5}$

d)

$\frac{1}{20}$

13.

a)

5/14

b)

6/14

c)

7/17

d)

8/14

14.

Multiply 2/6 x 3/5

a)

1/5

b)

1 / 1

c)

1 / 6

d)

0

15.

What is the difference of these fractions in lowest terms?

a)

7/9

b)

1/5

c)

12/20

d)

1/20

16.

Find the product
0.7 x 0.04

a)

0.28

b)

2.8

c)

28

d)

0.028

17.

Add
4.76 + 3.9

a)

8.66

b)

5.05

c)

0.86

d)

866

18.

Subtract.
8.32 - 4.25

a)

407

b)

4.17

c)

4.07

d)

12.75

19.

45.1 x 7

a)

31.57

b)

315.7

c)

3,157

d)

3.157

20.

0.2 x 0.8

a)

16

b)

0.16

c)

0.016

d)

1.6

21.

2.5 ÷ 0.5

a)

5

b)

50

c)

250

d)

25

22.

Subtract 98.33 - 55.7

a)

42.63

b)

41.63

c)

41.62

d)

42.62

23.

Multiply 0.28 $\times$ 0.14

a)

3.92

b)

0.392

c)

0.0392

d)

39.2

24.

How many significant figures does the following number have?
0.00345

a)

6

b)

5

c)

3

d)

Ambiguous: 3,4,5, or 6

25.

Round this decimal to the nearest whole number 9.28

a)

9

b)

10

c)

2

d)

3

26.

Round to the nearest hundredth: 8.5435?

a)

8.5

b)

8.54

c)

8.544

d)

8

27.

Round 23.542 to the nearest tenth.

a)

23.5

b)

23.6

c)

23.54

d)

23

28.

Which of the following is 9.029 rounded to the nearest hundredth?

a)

9.0

b)

9.02

c)

9.03

d)

9.029

29.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

30.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10^-3

d)

.5 x 10^-3

31.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

32.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

⁷/₉

b)

⁷⁷/₉₉

c)

²/₃

d)

⁷/₉₉

33.

a)

Repeating Decimal

b)

Non-Repeating Decimal

c)

Terminating Decimal

34.

Express 0.2 as a percentage

a)

20%

b)

2%

c)

0.2%

d)

200%

35.

Express 30% as a fraction

a)

$\frac{3}{10}$

b)

$\frac{3}{5}$

c)

$\frac{30}{10}$

d)

$\frac{3}{100}$

36.

Express $\frac{4}{5}$ as a percentage

a)

20%

b)

80%

c)

40%

d)

45%

37.

44% can be written as the following decimal and fraction...

a)

0.44 and 44/10

b)

0.44 and 44/100

c)

0.4 and 44/100

d)

0.4 and 44/10

38.

Calculate 10% of $40

a)

$40

b)

$4

c)

$400

d)

$0.4

39.

Change 247% to a decimal

a)

24.7

b)

2.47

c)

.247

d)

.0247

40.

20% of 60

a)

6

b)

16

c)

12

d)

120

41.

The 8th grade chess team has 5 boys an 11 girls. What is a ratio that represents this comparison?

a)

5/11

b)

11 to 5

c)

11:5

d)

5 to 11

e)

5:11

42.

Given that y is inversely proportional to x, what is the general equation?

a)

b)

c)

d)

43.

What kind of variation does this equation show?
y = 6x

a)

Inverse Variation

b)

Direct Variation

c)

No Variation

d)

Joint Variation

44.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

45.

Find the LCM of 6 and 8...

a)

12

b)

16

c)

24

d)

36

46.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

47.

Factorise $4x+12$ fully.

a)

$-4(-x+3)$

b)

$2(2x+6)$

c)

$-4(-x-3)$

d)

I don't know 😓

48.

Factorise $6x-9$ fully.

a)

$3(3-2x)$

b)

$3(2x-3)$

c)

$-3(3+2x)$

d)

I don't know 😓

49.

$\left(2^4\right)^3=$

a)

$8^3$

b)

$2^7$

c)

$2^{12}$

d)

$8^{12}$

50.

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

a)

$\frac{1}{2}x$

b)

$\sqrt{x}$

c)

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

d)

$-x^2$

51.

$2^{-3}=$

a)

$-8$

b)

$-6$

c)

$\frac{1}{8}$

d)

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

52.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

53.

x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

54.

x⁸ / x²

a)

x⁴

b)

x¹⁶

c)

x^-6

d)

x⁶

55.

Simplify

a)

14d⁷e²

b)

14d⁷e³

c)

3d⁷e²

d)

sam

56.

Solve for the given variable:

5k + 9 = 19

a)

k = 3

b)

k = -5

c)

k = 2

d)

k = 6

57.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

58.

Simplify:
5(3x+1)

a)

15x+1

b)

15x+5

c)

8x+1

d)

8x+6

59.

$\frac{x}{2}=-10$

a)

-10

b)

20

c)

-20

d)

-5

60.

a)

5

b)

-5

c)

25

d)

-25

61.

What are the factors of x² - 3x + 2?

a)

(x + 2)(x + 1)

b)

(x + 2)(x - 1)

c)

(x - 2)(x + 1)

d)

(x - 2)(x - 1)

62.

Solve quadratic equation using quadratic formula $x^2+7x+12=0$

a)

$x=-3,-4$

b)

$x=-3,4$

c)

$x=3,4$

d)

$x=3,-4$

63.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

64.

pV = nRT

solve for R

a)

$R=\frac{pV}{nT}$

b)

$R=\frac{p}{n}+\frac{V}{T}$

c)

$R=pV-nT$

d)

$R=\frac{(pV-n)}{T}$

65.

Which letter represents the point

(2,\frac{π}{6})

?

a)

F

b)

E

c)

B

d)

A

66.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

67.

Convert (3, 2) to polar coordinates.

a)

$\theta=\tan^{-1}\left(\frac{3}{2}\right),\ r\ =\sqrt[]{13}$

b)

$\theta=\tan^{-1}\left(\frac{2}{3}\right),\ r=\sqrt[]{13}$

68.

Convert (3, 45°) to rectangular coordinates.

a)

y=3sin45°

x=3cos45°

b)

y=3cos45°

x=3sin45°

c)

y=45sin3°

x=45cos3°

d)

y=45cos3°

x=45sin3°

69.

Which line is the best fit line for this scatter plot?

a)

a

b)

b

c)

c

d)

d

70.

What function is this?

a)

y=-sin(x)

b)

y=sin(x)

c)

y=2sin(x)

d)

y=0.5sin(x)

71.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

72.

What is the range of y = sin x ?

a)

{-1 < y < 1}

b)

{-1 ≤ y ≤ 1}

c)

{-1 < x < 1}

d)

{-1 ≤ x ≤ 1}

73.

Which is the correct equation of a straight line?

a)

y = cx + m

b)

y = mc + x

c)

y = mx + c

d)

x = ym + c

74.

What is the y-intercept of the line y = 3x - 4

a)

3

b)

4

c)

-4

d)

$-\frac{1}{3}$

75.

What is the gradient of the line y = 2x + 6?

a)

2

b)

-2

c)

6

d)

$\frac{1}{2}$

76.

Find the slope or gradient of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

77.

Find the slope or gradient of the line that goes through the points

(−11,−5) and (1,−12).

Use the formula $m=\frac{Y2-Y1}{X2-X1}$

a)

$-\frac{5}{8}$

b)

$\frac{16}{11}$

c)

$\frac{1}{6}$

d)

$-\frac{7}{12}$

78.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

79.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

80.

Find the simultaneous solution

a)

(6, 8)

b)

(8, 6)

c)

(-6, 8)

d)

No solution

81.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

82.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

83.

After driving 125 miles, how many gallons are left in the tank?

a)

10

b)

11

c)

9

d)

10.5

84.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

85.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

86.

Find x.

a)

35

b)

20

c)

8

d)

12

87.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

88.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

89.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

90.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

91.

What is the radius?

a)

18

b)

72

c)

38

d)

14

92.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.7 cm

c)

24 cm

d)

68.4 cm

93.

The radius of the circle is 9 meters. What is the circle's circumference?

a)

9 meters

b)

28.26 meters

c)

56.52 meters

d)

18 meters

94.

What is the perimeter of this rectangle?

a)

17 cm

b)

34 cm

c)

60 cm

d)

32 cm

95.

Find the perimeter

a)

25cm

b)

35cm

c)

50cm

d)

100cm

96.

What is the area of the rectangle?

a)

15 sq cm

b)

15 cm

c)

18 cm

d)

16 sq cm

97.

Find the Area:

a)

54 ft²

b)

45 ft²

c)

63 ft²

d)

36 ft²

98.

Find the area of this triangle.

a)

240 ft²

b)

56 ft²

c)

66 ft²

d)

120 ft²

99.

What is the volume of this prism?

a)

24 cm³

b)

240 cm³

c)

60 cm³

d)

20 cm³

100.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

Specialty Unit 301 Revision

Total questions: 100

Worksheet time: 4hrs 51mins

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