Free Printable Mock Examinations Paper 1 Add Maths

1.

What are the three factors for
(x³ -3x² -4x +12) ÷ (x + 2)?

a)

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

b)

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

c)

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

d)

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

2.

Expand and simplify 4(x + 2) + 3(x + 5)

a)

7x + 23

b)

7x + 7

c)

7x + 15

d)

7x

3.

Solve by completing the square.
$x^2-6x-59=0$

a)

$x=\left\{\pm2\sqrt{17}+3\right\}$

b)

$x=\left\{\pm17\sqrt{2}+3\right\}$

c)

$x=\left\{\pm2\sqrt{17}-3\right\}$

d)

$x=\left\{\pm17\sqrt{2}-3\right\}$

4.

The discriminant is...

a)

ax²+ bx + c

b)

b² + 4ac

c)

b² - 4ac

d)

b - 4ac

5.

The roots of 2x²+ 9x = -4 will be

a)

Real, rational & equal

b)

Real, rational & different

c)

Real, irrational & different

d)

Non-real & different

6.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

7.

Solve by factoring:3x² + 5x + 2 = 0

a)

x = -2/3 and x = -1

b)

x = -3/2 and x = -1

c)

x = 2/3 and x = 1

d)

x = 2/3 and x = -1

8.

$If\ \alpha\ and\ \beta\ are\ the\ roots\ of\ the\ equation\ 3x^2\ -4x\ +\ 1\ =\ 0,\ then\ the\ value\ of\ \frac{1}{\alpha}+\frac{1}{\beta}=$

a)

$\frac{7}{3}$

b)

4

c)

$\frac{1}{4}$

d)

-4

9.

Solve the quadratic inequality:

$x^2+11x+10\ge0$

a)

$x\le1\ ,\ \ x\ge10$

b)

$x\ge1\ ,\ \ x\le10$

c)

$1\le x\le10$

d)

$-1\le x\le11$

10.

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

a)

8

b)

4

c)

2

d)

Cannot be determined

11.

log₅(4x-7)=log₅(x+5)

a)

3

b)

12

c)

4

d)

7

12.

Simplify fully:
√32 + √12

a)

4√2 +2√3

b)

6√5

c)

√44

d)

2√11

13.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

14.

Use the formula S_n to find the sum of the first five terms of the geometric sequence.

a)

22

b)

2/3

c)

18

d)

21

15.

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

a)

Arithmetic

b)

Geometric

c)

Neither

16.

Evaluate $\sum_{n=1}^5\left(n+3\right)$ .

a)

10

b)

20

c)

30

d)

40

17.

Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

a)

(0, -1)

b)

(6, 1)

c)

(1, 6)

d)

(0, 1)

18.

Write the equation of the perpendicular bisector of the line AB given:
A(1,3) & B(-3,5)

a)

y = 2x + 4

b)

y = 2x + 6

c)

y = -2x + 6

d)

y = 2x - 6

19.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

20.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

21.

Find the dot product of <1, -2> and <3, 2>.

a)

1

b)

<3, -4>

c)

<4, 0>

d)

-1

22.

Find the angle between u and v.

a)

78.930^o

b)

33.691^o

c)

101.070^o

d)

146.310^o

23.

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

a)

<21, 2>

b)

<-11, 26>

c)

<8, 3>

d)

23

24.

Simplify

a)

secθ

b)

cos²θ

c)

sin²θ

d)

sin²θ/cos²θ

25.

a)

sinθ

b)

cot²θ

c)

tan²θ

d)

cos²θ

26.

Solve for 0≤x≤2π

2sin²x - 5sinx + 2 = 0

a)

π/6, 5π/6

b)

7π/6, 11π/6

c)

π/3, 2π/3

d)

4π/3, 5π/3

27.

$Solve\sin2⁡x=\frac{\sqrt{3}}{2}\ for\ 0≤x≤360°$

a)

30, 150

b)

30, 60, 210, 240

c)

60, 120

d)

15, 75, 195, 255

28.

$\cos\ \left(-60\right)+\sin\left(-90\right)=$

a)

-1/2

b)

1/2

c)

-3/2

d)

3/2

29.

$\tan\left(x-y\right)=$

a)

$\frac{\tan x-\tan y}{1+\tan x\tan y}$

b)

$\frac{\tan x+\tan y}{1-\tan x\tan y}$

c)

$\frac{\tan x-\tan y}{1-\tan x\tan y}$

d)

$\frac{\tan x+\tan y}{1+\tan x\tan y}$

30.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

31.

Find the arc length.

a)

3π/4 ft

b)

39π/4 ft

c)

13π/4 ft

d)

4π/13 ft

32.

Differentiate y= 12x^-2

a)

24x^-1

b)

-24x^-3

c)

-24x^-1

d)

6x^-3

33.

Find the derivative of:
f(x) = 7(3x+ 4)⁵

a)

35(3x + 4)⁵

b)

35(3x + 4)⁴

c)

105(3x + 4)⁵

d)

105(3x + 4)⁴

34.

Find the derivative of this function

a)

(8x³ -60x/(2x²-5)²

b)

16x⁴/(2x²-5)²

c)

(8x⁴ -60x²)/(2x²-5)²

d)

3x/(2x²-5)²

35.

Given the position function, find the velocity at t=7

a)

10

b)

6

c)

11

d)

1

36.

Given the position function, find the acceleration at t=8

a)

-2

b)

1

c)

2

d)

3

37.

∫ (2 - x)⁵ dx

a)

-5 (2 - x )⁴ + C

b)

( 2 - x )⁶+ C

c)

(1/6) ( 2 - x )⁶+ C

d)

-(1/6) ( 2 - x )⁶+ C

38.

Integrate $\int_{ }^{ }\left(x^2+7\right)dx$

a)

$=2x+c$

b)

$=x^3+7x$

c)

$=\frac{1}{2}x^3+7x$

d)

$=\frac{1}{3}x^3+7x+c$

39.

∫cos(4x+5)dx

a)

-¼sin(4x + 5) + C

b)

4sin(4x + 5) + C

c)

¼sin(4x + 5) + C

d)

4cos(4x + 5) + C

40.

What is the interquartile range (IQR)?

a)

4

b)

64

c)

60

d)

8

41.

How many data points are greater than 34?

a)

10

b)

11

c)

12

d)

13

42.

What does the standard deviation tell us about the data set?

a)

How spread out the numbers are

b)

How much each number in the data set increases by

c)

How much each number in the data set decreases by

43.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

44.

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked y

a)

⁷/₁₀

b)

³/₁₀

c)

⁶/₉

d)

²/₉

45.

A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?

a)

16%

b)

1.38%

c)

72.3%

d)

Not enough information

Mock Examinations Paper 1 Add Maths

Total questions: 45

Worksheet time: 2hrs 6mins

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