Free Printable Y10AEP Sem1 Revision

1.

What is the measure of angle A?

a)

50 degrees

b)

60.63 degrees

c)

77.78 degrees

d)

74.5 degrees

2.

What rule should you use?

a)

Sine

b)

Cosine

3.

What rule should you use?

a)

Sine

b)

Cosine

4.

What rule should you use?

a)

Sine

b)

Cosine

5.

a)

10.1

b)

10.0

c)

10.9

d)

8.86

6.

sin 150

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

7.

cos 90

a)

0

b)

1

c)

-1

d)

undefined

8.

tan 225

a)

√2/2

b)

-√2/2

c)

1

d)

-1

9.

a)

115

b)

135

c)

120

d)

110

10.

a)

$180\degree$

b)

$270\degree$

c)

$300\degree$

d)

$225\degree$

11.

Based on your unit circle cos(30^o)=

a)

1

b)

1/2

c)

√3/2

d)

√2/2

12.

What is the exact value of cos 330°

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

13.

Factorise the expression:

x² + x - 6

a)

(x + 3)(x - 2)

b)

(x + 2)(x - 3)

c)

(x + 6)(x - 1)

d)

(x + 1)(x - 6)

14.

Factorise the expression:

x² + 9x + 20

a)

(x + 4)(x + 5)

b)

(x - 4)(x - 5)

c)

(x + 3)(x + 6)

d)

(x - 3)(x - 6)

15.

Factorise $5x^2+24x+16$

(a)

16.

$Simplify\ \ \frac{8x^3y^4}{5x^4y}\div\frac{4y^2}{15x^2y}$

a)

$\frac{6y^4}{x^3}$

b)

$\frac{12x}{y^2}$

c)

$6xy^2$

d)

$\frac{32y^4}{75x^3}$

17.

Using the graph solve the equation
-x²-2x+3=-5.

a)

{-3,-1}

b)

{-2,0}

c)

{-4,2}

d)

{-1,4}

18.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

19.

2d² = 8

a)

4

b)

-2

c)

-4, 4

d)

-2, 2

20.

When solving a quadratic equation, when do you use the plus or minus (±) symbol?

a)

After taking the square root of both sides

b)

After adding the square to both sides

c)

After taking half of b

d)

After setting the equation equal to zero

21.

What is the discriminant and how many solutions would this quadratic have?

-8x² + 6x - 4 = 0

a)

-92, No Solutions

b)

164, 2 Solutions

c)

-164, No Solutions

d)

92, 2 Solutions

22.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

23.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions. (x-intercepts)

d)

The axis of symmetry

24.

Which of the following describes the graph of f(x)= x² - 2x -15.

a)

The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)

b)

The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)

c)

The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)

d)

The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

25.

What is the axis of symmetry for the following equation?

y=4x²-8x+9

a)

x = 5

b)

x=1

c)

y = 1

d)

y = 5

26.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

27.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

28.

Given the equation for this parabola, does this parabola have a maximum or minimum value?

y\ =\ -\left(x-4\right)^2\ -\ 3

a)

Maximum

b)

Minimum

29.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

30.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

31.

What is the green dot on the parabola called?

a)

maximum

b)

minimum

c)

roots

d)

zeros

32.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

33.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

34.

What is the equation for the axis of symmetry?

a)

x = -1

b)

x = 8

c)

x = 1

d)

x = -3

35.

Which of the following formulas is the Cosine rule?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

36.

Find the area of the triangle

a)

72.3cm²

b)

84.4cm²

c)

77.9cm²

d)

78cm²

37.

Calculate the area of Triangle ABC if b=32, c=27 and angle A = 108 degrees

a)

400sq units

b)

411sq units

c)

345sq units

d)

525sq units

38.

What are the values of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

39.

What is the value of x?

a)

92

b)

25

c)

12.5

d)

105

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

A

b)

B

c)

C

d)

D

42.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

43.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

a)

{3, -1}

b)

{4, -4}

c)

{5, -3}

d)

{8, -7}

44.

Simplify √56

a)

4√14

b)

2√14

c)

2√27

d)

4√7

45.

What graph is shown here?

a)

$y=\cos x$

b)

$y=\tan x$

c)

$y=\sin x$

46.

The coordinates of point A are $\left(.......,\ .......\right)$

(a)

47.

Which equation is represented by the graph shown below?

a)

$y=\frac{1}{2}\cos2x$

b)

$y=\cos x$

c)

$y=\frac{1}{2}\cos x$

d)

$y=2\cos\frac{1}{2}x$

48.

What is the amplitude of the function
f(x) = -3cos x ?

a)

-3

b)

3

c)

6

d)

-6

49.

What is the period of g(x) = 5sin x ?

a)

90°

b)

72°

c)

180°

d)

360°

50.

Which of A sin (Bx) affects the period?

a)

A

b)

B

c)

sin

51.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

52.

What is the period of the equation shown?

a)

360

b)

720

c)

90

d)

180

53.

Where does the graph y = sin x begin?

a)

(0,0)

b)

(0,1)

c)

(0, 180)

d)

(1, 180)

54.

What is the period of y = 3 cos 2x?

a)

360 degrees

b)

720 degrees

c)

180 degrees

d)

120 degrees

Y10AEP Sem1 Revision

Total questions: 54

Worksheet time: 2hrs 55mins

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