Free Printable 3rd Term Remedial Task for Mathematics

1.

Make w the subject.
$P\ =\ 2\left(l\ +\ w\right)$

a)

$w\ =\ \frac{P}{2}+\ l$

b)

$w\ =\ 2P\ -\ l$

c)

$w\ =\ \frac{P-l}{2}$

d)

$w\ =\ \frac{P}{2}-\ l$

2.

Make p the subject of the formula.
$I\ =\ prt$

a)

$p\ =\ I\ -\ rt$

b)

$p\ =\ \frac{I}{rt}$

c)

$p\ =\ Irt$

d)

$p\ =\ \frac{rt}{I}$

3.

Solve for d:

$C=\pi d$

a)

$\frac{C}{\pi}=d$

b)

$d=C\pi$

c)

$d=\frac{\pi}{C}$

d)

$d=C-\pi$

4.

Solve for v

$F=BQv$

a)

$v=\frac{BQ}{F}$

b)

$v=\frac{F}{BQ}$

c)

$v=F-BQ$

d)

$v=FBQ$

5.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

6.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

7.

Solve m - n = 5 for m.

a)

m = 5 + n

b)

m = -5 - n

c)

m = -5 + n

d)

m = 5 - n

8.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = ^(R-c)/_a

9.

a)

b)

c)

d)

10.

a)

b)

c)

d)

11.

a)

b)

c)

d)

12.

How do you solve this $\frac{x}{4}=5$ ?

a)

Multiply both sides by 4

b)

Multiply both sides by 5

c)

Add 4 and 5

d)

Subtract 4 and 5

13.

Solve for the value of y; $-\frac{y}{2}=-5$

a)

5

b)

-10

c)

10

d)

20

14.

Solve for the value of x; $\frac{x}{2}=3$

a)

2

b)

3

c)

6

d)

5

15.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

16.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

17.

Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x

a)

Distributing -2 to (x - 7)

b)

Combining x and 3x

c)

Subtracting 1 from both sides

d)

5 - 2

18.

Solve the equation:
$\frac{1}{2}(2x+6)=3x+13$

a)

no solution

b)

x = 8

c)

x = -5

d)

x = 7

19.

$\frac{1}{2}x+\frac{1}{3}x=5$

a)

x = ⅕

b)

x = 1

c)

x = 5

d)

x = 6

20.

True or False
2x + 6 = 2(x + 3)

a)

True

b)

False

21.

Factor
16x + 24x²

a)

4x(2x + 6)

b)

8x(2 + 3x)

22.

Factor
14x + 20

a)

2(7x + 10)

b)

4(2x + 5)

23.

24x - 144

a)

12(2x+12)

b)

-12(2x+12)

c)

-12(2x-12)

d)

12(2x-12)

24.

Factor the following expression using the GCF: 8x + 32xy + 64x

a)

8 (x + 4xy + 8x)

b)

8x (1 + 4y + 8)

c)

4x (2 + 8y + 16)

d)

8xy (1 + 4 + 8)

25.

Factor the following expression using the GCF: 2x + 4y + 8

a)

2 (x + 2y + 4)

b)

2 (x + 2y + 8)

c)

2 (1 + 2y + 8)

d)

2 (x + 2 + 8)

26.

What is the factored form of 4x²+8x+10

a)

2x(2x²+4x+5)

b)

2x(x²+4x+10)

c)

2(2x²+4x+10)

d)

2(2x²+4x+5)

27.

Penny's garden has an area of 80x² + 15x. If the length is 5x, what is the width?

a)

12x + 3

b)

16x + 3

c)

16x

d)

12x

28.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

29.

Find the arc length. Leave your answer in terms of π.

a)

$\frac{7}{4}\pi$

b)

$\frac{7}{2}\pi$

c)

$\frac{\pi}{8}$

d)

45π

30.

Find the length of the minor arc.

a)

$\frac{19}{9}\pi$ cm

b)

$\frac{38}{9}\pi$ cm

c)

$\frac{576}{19}\pi$ cm

d)

$\frac{31}{36}\pi$ cm

31.

Find the length of the minor arc.

a)

$9\pi$ in.

b)

$\frac{9}{2}\pi$ in.

c)

$\frac{1}{8}\pi$ in.

d)

$64\pi$ in.

32.

Find the length of arc MPN.

a)

$\frac{21}{4}\pi$ in.

b)

$\frac{21}{8}\pi$ in

c)

$\frac{35}{8}\pi$ in

d)

$\frac{35}{4}\pi\$ in

33.

Find the length of arc WY.

a)

$\frac{25}{6}\pi$ m

b)

$\frac{25}{3}\pi$ m

c)

$\frac{65}{6}\pi$ m

d)

$\frac{65}{3}\pi$ m

34.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

35.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

36.

Find the area of the sector, rounding your answer to 1d.p.

a)

176.7cm²

b)

23.6cm²

c)

156.7cm²

d)

88.4cm²

37.

Find the area of the sector, rounding your answer to 1d.p.

a)

67.1cm²

b)

67.0cm²

c)

16.8cm²

d)

134.0cm²

38.

Find the area of the sector, rounding your answer to 1d.p.

a)

2.1cm²

b)

2.0cm²

c)

0.5cm²

d)

12.6cm²

39.

Find the area of the sector, rounding your answer to 1d.p.

a)

8.9cm²

b)

9.0cm²

c)

11.4cm²

d)

11.3cm²

40.

What is the perimeter of this shape?

a)

33 cm

b)

23 cm

c)

36 cm

d)

40 cm

41.

What is the perimeter of this shape?

a)

38 cm

b)

41 cm

c)

42 cm

d)

39 cm

42.

Find the perimeter

a)

25cm

b)

35cm

c)

50cm

d)

100cm

43.

What is the perimeter of this shape?

a)

200 mm

b)

210 mm

c)

150 mm

d)

65 mm

44.

How many cm is the missing length ?

(just the number. no units)

(a)

45.

The compound shape has been split into 2 rectangles. The area of rectangle A is 4 cm x (a) cm

(just the number. no units)

46.

Find the area of this shape.

a)

63 cm2

b)

37 cm2

c)

73 cm2

d)

36 cm2

47.

What is the area of the shaded region?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

48.

The area of rectangle B is ?

a)

5 cm x 12 cm

b)

5 cm x 11 cm

c)

12 cm x 5 cm

d)

8 cm x 5 cm

49.

Find the volume of the following shape.

a)

18.4 cm

b)

194.4cm

c)

194.4cm³

d)

18.4 cm³

50.

Find the volume of the following shape:

a)

22cm³

b)

66cm³

c)

88 cm³

d)

132cm³

51.

Find the volume of this composite prism.

a)

20 cm ³

b)

108 cm ³

c)

36 cm ³

d)

60 cm ³

52.

What is the formula for surface area of a rectangular prism?

a)

V = l x w x h

b)

SA = l x w x h

c)

SA = 2lw x 2 wh x 2 lh

d)

SA = ½abh

53.

What are the shapes that you need to calculate the area for this shape?

a)

1 triangle and 1 rectangle

b)

2 triangles and 2 rectangles

c)

2 triangles and 3 rectangles

d)

2 triangles and 4 rectangles

54.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

55.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

56.

Find the surface area of this compound shape

a)

480 cm²

b)

152 cm²

c)

19 cm²

d)

184 cm²

57.

Continue the given sequence: 6, 8, 10...

a)

12, 14, 16, 18

b)

11, 12, 13, 14

c)

9, 8, 7, 6

d)

6, 8, 10

58.

State the difference between each of the following terms: 60, 56, 52, 48...

a)

+5

b)

+4

c)

-4

d)

-5

59.

Find the nth term of the following sequence: 2, 5, 8, 11....

a)

3n - 2

b)

3n

c)

3n -1

d)

2n + 3

60.

State the nth term rule of the following sequence: 12, 10, 8...

a)

2n

b)

2n + 6

c)

-2n + 10

d)

-2n + 14

61.

State the nth term of the following quadratic sequence: 1, 4, 9...

a)

n squared

b)

n squared + 2

c)

n squared + 1

d)

n squared - 1

62.

The first 5 terms of the sequence

2n-n^2

are:

1, 0, -3, -8, -15

What is the expression for the sequence whose first 5 terms are
3, 0, -9, -24, -45, ...

a)

$6n-n^2$

b)

$3n$

c)

$6n-3n^2$

d)

$3n-n^2$

63.

What is the nth term of the sequence:

4, 16, 36, 64, 100, ...

a)

2n^2

b)

$\left(2n\right)^2$

c)

$\left(n+1\right)^2$

d)

$3n^2+3n-2$

64.

The rule for a sequence is "square the position then add 7". Which of these is the 4th term?

a)

9

b)

15

c)

23

d)

121

65.

What is the nth term rule for the total number of squares?

a)

n^2+1

b)

$4n-2$

c)

$4n^2+1$

d)

$n^2+n$

66.

The first four terms of a sequence are

5, 11,21, 35

What are the next two terms?

a)

41, 47

b)

53, 75

c)

49, 63

d)

45, 51

67.

The nth term of a sequence is
$3n^2-3n+2$
What is the 3rd term of the sequence?

a)

74

b)

38

c)

301

d)

20

68.

What does the shaded portion of the Venn diagram represent?

a)

Band and Art

b)

Only Art

c)

Band or Art

d)

Neither

69.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

70.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

71.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

72.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

73.

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

74.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

75.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

76.

Suppose A = {red, blue, yellow}, B = {Red, yellow, green}, and C = {green, red, purple}. Which set is equivalent to $\left(A\cup B\right)\cap C$ ?

a)

{purple}

b)

{red}

c)

{red, green}

d)

{yellow, purple}

77.

Which of the following is not an element of A = {b, g, 5, 8, 12}}

a)

c

b)

12

c)

g

d)

8

78.

Set C is the set of whole numbers less than 9. Which of these is the correct C?

a)

C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

b)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

c)

C = {1, 2, 3, 4, 5, 6, 7, 8}

d)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8}

79.

What does this symbol $\cap$ represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

80.

a)

{casey, drew, jade, glen}

b)

{alex, glen, hunter, jade}

c)

{casey, drew, glen}

d)

{drew, jade}

81.

a)

{1, 3, 5}

b)

{1, 2, 3}

c)

{2, 3, 5}

d)

{2}

82.

The Venn diagram above shows information about the number of students who study Music (M ), Drama (D) and Geography (G).

How many students study Music?

a)

14

b)

16

c)

5

83.

The Venn diagram above shows information about the number of students who study Music (M ), Drama (D) and Geography (G).How many students study exactly two subjects?

a)

14

b)

16

c)

15

84.

a)

b)

85.

How many students do not snowboard?

a)

21

b)

22

c)

28

d)

29

3rd Term Remedial Task for Mathematics

Total questions: 85

Worksheet time: 21hrs 15mins

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