Free Printable A2 Maths Final Exam V2

1.

Give the algebraic expression for

"The sum of 25 and x"

a)

25 + x

b)

25 - x

c)

25x

d)

25/x

2.

Give the algebraic expression for

"The difference of m and 22".

a)

m - 22

b)

m + 22

c)

22m

d)

m/22

3.

Evaluate 10x - y

if x = 7 and b = -5

a)

75

b)

25

c)

90

d)

500

4.

Evaluate 3(a - 2) + 3

if a = 5

a)

12

b)

13

c)

20

d)

8

5.

Simplify:

8x + 2 + 10x + 1

a)

18x + 3

b)

21x

c)

10x+11

d)

9x+12

6.

Simplify:

9z - 21 - 3z + 10

a)

6z-11

b)

6z-31

c)

12z-11

d)

12z-31

7.

Expand 6(z - 3)

a)

6z-18

b)

6z-3

c)

6z+18

d)

6z+3

8.

Expand a(a - 10)

a)

$a^2-10a$

b)

$2a-10$

c)

$2a^2-10$

d)

$a-10a^2$

9.

Expand

(x + 3)(x + 8)

a)

$x^2+11x+24$

b)

$x^2+11x+11$

c)

$x^2+24x+11$

d)

$x^2+24x+24$

10.

Expand (x + 5)(x - 2)

a)

$x^2+3x-10$

b)

$x^2+4x-10$

c)

$x^2+3x-5$

d)

$x^2+8x-10$

11.

Factorise completely:

8x-24

a)

8(x-3)

b)

8(x-8)

c)

3(x-8)

d)

8(3x - 5)

12.

Factorise:

4x + 30y

a)

2(2x + 15y)

b)

4(x + 15y)

c)

2(x + 15y)

d)

can't be factorised

13.

Solve the following equation:

x + 8 = 15

a)

x = 7

b)

x = 6

c)

x = 23

d)

x = 22

14.

Solve the equation:

x - 4 = -3

a)

x = 1

b)

x = -7

c)

x = 12

d)

x = -12

15.

Solve the equation:

2x+5=21

a)

x=8

b)

x=5

c)

x=4

d)

x=2

16.

Solve the equation:

$8=\frac{a}{3}+6$

a)

a=6

b)

a=5

c)

a=3

d)

a=2

17.

Solve the equation:

5x - 14 = 8x + 4

a)

x = -6

b)

x = 6

c)

x = -18/13

d)

x = 10/3

18.

Solve the equation:

7x - 4 = 3 + 8x

a)

x = -7

b)

x = 7

c)

x = 2/7

d)

x = 11

19.

Solve the formula for p.

I = prt

a)

p = I/rt

b)

p = I - rt

c)

p = Irt

d)

p = rt/I

20.

Solve:

V = LWH, for W

a)

W=V/LH

b)

W=V-LH

c)

W=V+LH

d)

W=V/H

21.

How do you write an ordered pair or a coordinate?

a)

(X,Y)

b)

(X,X)

c)

(Y,Y)

d)

(Y,X)

22.

What are the coordinates or ordered pair for Point C?

a)

(4,-2)

b)

(-2,4)

c)

(2,-4)

d)

(-4,2)

23.

A line passes through the ordered pairs (3, 5) and (-2, -3). What is its gradient or slope?

a)

m = 8/5

b)

m = 5/8

c)

m = -8/5

d)

m = 8

24.

Which equation represents the gradient or slope formula?

a)

$m=\frac{y^2-y^1}{x^2-x^1}$

b)

y=mx+b

c)

ax + by = c

d)

$y-y^1=m(x-x^1)$

25.

What is the x and y intercept for the following equation ?

4x - 10y = 20

a)

x - int = 5

y int = -2

b)

x -int = 4

y -int = -10

c)

x-int = 5

y-int = 2

d)

x - int = 4

y-int = -10

26.

What is the y-intercept shown on the graph?

a)

(0,3)

b)

(0,4)

c)

(-2,0)

d)

(2,0)

27.

What is the equation of a line with a gradient(slope) of 4 and a y-intercept of -3?

m = 4

b = -3

a)

y=4x-3

b)

y=4x+3

c)

y=4-4

d)

y=-4x+3

28.

What is the equation of the blue line?

a)

y=2/5x-3

b)

y=5/2x-3

c)

y=3x-5/2

d)

y=-3x+5/2

29.

Use the Distance Formula to find the distance between:

(-6,-3) and (-4,-8)

Round your answer to one decimal place.

a)

5.4 units

b)

7.1 units

c)

6.6 units

d)

4.8 units

30.

Find the distance between J (-5,4) and K (3,2) rounded to one decimal place.

a)

8.2 units

b)

7.7 units

c)

9 units

d)

10.2 units

31.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

32.

What is the midpoint between the two points?

a)

(1,2)

b)

(2,1)

c)

(-1,2)

d)

(2,-1)

33.

Find the missing angle.

a)

52 degrees

b)

43 degrees

c)

72 degrees

d)

82 degrees

34.

Find the missing angle.

a)

156 degrees

b)

86 degrees

c)

166 degrees

d)

76 degrees

35.

If $m\angle2=130\degree$ , then $m\angle4=$

a)

130 degrees

b)

50 degrees

c)

40 degrees

d)

230 degrees

36.

Find the sum of the interior angles of a hexagon (6-sided shape).

a)

720 degrees

b)

900 degrees

c)

540 degrees

d)

360 degrees

37.

What is the sum of the interior angles of an icosagon (20-sided shape)?

a)

3240 degrees

b)

3600 degrees

c)

20 degrees

d)

180 degrees

38.

Find the missing angle in the hexagon (6-sided shape).

a)

130 degrees

b)

90 degrees

c)

110 degrees

d)

50 degrees

39.

Find the perimeter of the square.

a)

20 cm

b)

25 cm

c)

15 cm

d)

5 cm

40.

Find the area of the square.

a)

25 cm. squared

b)

20 cm. squared

c)

5 cm.

d)

10 cm.

41.

Find the area of the shape

a)

72 cm²

b)

54 cm²

c)

45 cm²

d)

63 cm²

42.

Find the area of the triangle.

a)

108 cm

b)

540 cm

c)

108 cm²

d)

54 cm²

43.

Find the measure of the missing angle D.

a)

40 degrees

b)

140 degrees

c)

16 degrees

d)

90 degrees

44.

Find the length of the missing side

a)

17 cm

b)

15 cm

c)

22 cm

d)

13 cm

45.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

46.

What is the radius of the circle?

r=

a)

7 cm

b)

14 cm

c)

44 cm

d)

154 cm

47.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

48.

Find the circumference of the circle.

a)

78.5 cm

b)

15.7 cm

c)

7.85 cm

d)

19.6 cm

49.

What is the area of this circle rounded to two decimal places?

a)

50.27 cm

b)

78.23 cm

c)

98.12 cm

d)

201.06 cm

50.

What is the area of this circle rounded to one decimal place?

a)

163.2 cm

b)

15.3 cm

c)

124.2 cm

d)

113.1 cm

51.

Find the length of the arc rounded to two decimal places.

a)

62.83 cm

b)

24.61cm

c)

123.05cm

d)

240.86cm

52.

Find the area of the sector and round your answer to one decimal place.

a)

4248.2 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

53.

What is the surface area of this figure?

a)

3000 cm ²

b)

164 cm ²

c)

236 cm ²

d)

328 cm²

54.

Find the surface area of the cylinder rounded to two decimal places.

a)

140.25 cm²

b)

439.82 cm²

c)

219.91 cm²

d)

192.25 cm²

55.

Find the volume of the following cone rounded to one decimal place.

a)

3982.3 m³

b)

2205.4 m³

c)

2,106.32 m³

d)

78.54 m³

56.

Find the volume of the sphere and round your answer to two decimal places.

a)

5575.28 cm³

b)

506.59 cm³

c)

126.65 cm³

d)

1393.11 cm³

57.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

58.

a)

27/36

b)

27/45

c)

45/36

d)

45/27

59.

Find the measure of angle N rounded to the nearest whole number.

Use your knowledge of the trig ratios SOH CAH TOA and their inverse trig ratios.

a)

14 degrees

b)

65 degrees

c)

76 degrees

d)

53 degrees

60.

Find the degree measure of the missing angle rounded to one decimal place.

Use your knowledge of the trig ratios SOH CAH TOA and their inverse trig ratios.

a)

15.8^o

b)

25.8^o

c)

28.9^o

d)

61.1^o

A2 Maths Final Exam V2

Total questions: 60

Worksheet time: 2hrs 38mins

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