Free Printable F5-Additional Mathematics Quiz Competition

1.

The correct method to convert $56^{\degree}$ to radian is.........

a)

$56+\frac{180}{\pi}$

b)

$56\times\frac{180}{\pi}$

c)

$56\times\frac{\pi}{180}$

d)

$56+\frac{\pi}{180}$

2.

The correct way to convert 5.6 rad to degree is......

a)

$5.6\times\frac{180}{\pi}$

b)

$5.6\times\frac{\pi}{180}$

c)

$5.6\div\frac{180}{\pi}$

d)

$5.6\div\frac{\pi}{180}$

3.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

4.

Calculate the area of segment for the following diagram.

a)

$1.98\ cm^2$

b)

$11.98\ cm^2$

c)

$19.82\ cm^2$

d)

$1.198\ cm^2$

5.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

6.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

7.

Find the derivative of the given equation
f(x) = x³ + x² + 3

a)

3x² + 2x

b)

3x + 2x

c)

3x + 2x + 3

d)

x³ + x²

8.

Find the second derivative of:

f(x) = 2x²- 8x + 9

a)

-8

b)

4

c)

9

d)

0

9.

Find the turning points of:

f(x)=x³+3x²-9x+1 (hint dy/dx=0)

a)

(-3,28) and (1,-4)

b)

(3,28) and (1,4)

c)

(1,28) and (-3,-4)

d)

(3,28) and (-1,-4)

10.

What rule should be used in deriving h(x) = 2(x - 4)³

a)

Power rule

b)

Product rule

c)

Quotient rule

d)

Chain rule

11.

What is the equation of the line tangent to the curve y = x² at x = 1?

a)

y = 2x + 1

b)

y = 2x - 1

c)

y = -2x + 1

d)

y = x - 1

12.

If the gradient of the tangent is $\frac{4}{3}$ , what is the gradient of the normal at the same point?

a)

$-\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{4}{3}$

13.

Which of the following is the indefinite integral of $\frac{x^3}{2}+7$ ?

a)

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

b)

$\frac{3x^2}{2}+7x+c$

c)

$\frac{x^4}{8}+7x+c$

d)

$\frac{x^4}{8}+c$

14.

$\int\left(x^2-2x\right)dx$

a)

$\frac{1}{3}x^3-x^2+C$

b)

$x^{2\ }-2x+C$

c)

$2x-2$

d)

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

15.

If y = $ax^n$ , then $\int_{ }^{ }y\ dx\ =$

a)

$\frac{ax^{n+1}}{n+1}$

b)

$\frac{ax^{n-1}}{n-1}+\ c$

c)

$\frac{ax^{n+1}}{n}+\ c$

d)

$\frac{ax^{n+1}}{n+1}+\ c$

16.

a)

⅝

b)

-⅝

c)

⅜

d)

45/16

17.

Find the area of the region bounded by the graphs of y = x² and y = 4x.

a)

32/3

b)

64/3

c)

32

d)

64

e)

32/5

18.

Which integral best represents the volume of revolution when the shaded area is rotated 2 $\pi$ radians about the y-axis.

a)

$\pi\int_0^3\left(x-3\right)dx$

b)

$\pi\int_0^3y^2dy$

c)

$\pi\int_0^{\sqrt{2}}y^2+3\ dy$

d)

$\pi\int_0^{\sqrt{2}}\left(y^2+3\right)^2\ dy$

19.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

30

20.

There are six people people, including you and your enemy, in a line. In how many ways can you arrange yourselves such that you and your enemy will never be beside each other?

a)

240 ways

b)

720 ways

c)

480 ways

d)

670 ways

21.

In how many ways can you arrange seven people to be seated in a round table?

a)

5040 ways

b)

120 ways

c)

720 ways

d)

840 ways

22.

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

a)

32 760

b)

60

c)

1 365

23.

In how many ways can a group of 4 boys be selected from 10 if the oldest boy is included in each group?

a)

84

b)

81

c)

504

d)

6

24.

Which of the following is an example of combination?

a)

Form a passcode with 4 digits

b)

Students line up in a queue to assembly

c)

Choose 4 students in a class committee

d)

Choose the chairperson, secretary and treasurer in a club

25.

What is the probability of tossing a coin 5 times and having it land tails-side-up 4 of the 5 times?

a)

7.8 %

b)

80 %

c)

1.6 %

d)

20 %

26.

Evaluate $_9C_6$

a)

54

b)

504

c)

60,480

d)

84

27.

Which one of the following is a discrete random variable?

a)

Sam's height

b)

Sam weight

c)

Time Sam's runs the 110 m hurdles

d)

Amount of Sam's brothers and sisters

28.

Find the z-score for 75 given a mean of 60 and a standard deviation of 6.

a)

-2.5

b)

2.5

c)

-1.15

d)

1.15

29.

Which is NOT true about the normal distribution curve?

a)

It is bell-shaped.

b)

The mean, median, and mode are approximately equal

c)

The smaller the standard deviation, the less spread in the curve.

d)

It is asymmetrical.

30.

The marks obtained by the students are normally distributed with mean 61 marks and variance 100 marks. Find the probability of the students obtain at least 85 marks.

a)

0.4207

b)

0.0082

c)

0.1112

d)

0.9918

F5-Additional Mathematics Quiz Competition

Total questions: 30

Worksheet time: 29mins

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