F.1 Easter

1.

1 point

Which of the following solids does NOT have a uniform cross-section?

2.

1 point

Find, in cm cube , the volume of the prism in the figure.

168

120

21

144

3.

1 point

Suppose ‘+1 m’ represents ‘walking 1 m due north’. Which of the following represents the result of ‘walking 5 m due north and then walking 3 m due south’?

+2m

+8m

-2m

-8m

4.

1 point

If we choose a suitable cluster to estimate the expression
19.99 + 20.17 + 20.02 + 19.38 - 20.46, we get

10

60

20

100

5.

1 point

Find the total surface area of a rectangular box with the dimension
3m×4m×5m respectively.

47m²

94m²

60m²

108m²

6.

1 point

In a school, 1 500 students live in Hong Kong. 35% of them live in Kowloon while 20% of them live on Hong Kong Island. Find the number of students who live in the New Territories.

225

675

525

300

7.

1 point

ABCD is a convex quadrilateral such that ∠A = 90 , ∠B = 80 , ∠C = 70 .
Find ∠D.

110°

120°

90°

100°

8.

1 point

Find, in cm square, the area of the figure.

24

48

32

40

9.

1 point

Find the perimeter of sector with diameter 12cm and angle of sector 240°.
(Express your answer in terms of $\pi{}$ .)

$(12+36\pi{})\text{cm}$

$(12+8\pi{})\text{cm}$

$(24+16\pi{})\text{cm}$

$(24+8\pi{})\text{cm}$

10.

1 point

For the algebraic expression - 2a³ + a - 4 - 5a,
which of the following is NOT true?

+a and -5a are like terms

- 2a³ and +a are unlike terms

There are 4 terms in the algebraic expression.

The constant term is 4.

11.

1 point

Which of the following expressions is the most reasonable to estimate
1.503 × 4.99?

2 × 5

2 × 4

1.5 × 4

1.5 × 5

12.

1 point

Mr. Lo deposits a sum of money in a bank at a simple interest rate of 3% p.a. The simple interest received after 2 years is $600. Find the sum of money deposited by Mr. Lo in the bank.

$10000

$8000

$6000

$12000

13.

1 point

Which of the following must be true?
(You may choose more than one answer if necessary.)

All regular polygons are equilateral and equiangular.

Equiangular polygons must be equilateral polygons.

Equilateral polygons must be equiangular polygons.

14.

1 point

The selling price of an apple and a mango are $a and $m respectively.
Peter paid $30 to buy 3 apples and 2 mangoes and receive the change of $2.
Which of the following equation is correct?

2a + 3m = 28

3(a-2) + 2(m-2) = 30

3a + 2m = 28

3a + 2m = 32

15.

1 point

Find the area of circle with radius 10 cm.
(Express your answer in terms of $\pi{}$ .)

$20\pi{}\text{cm}^{2}$

$100\pi{}\text{cm}^{2}$

$200\pi{}\text{cm}^{2}$

$10\pi{}\text{cm}^{2}$

16.

1 point

Which of the following expressions yield a positive number?
(You may choose more than one answer if necessary.)

(-7)-(-4)(-5)(-6)

[-(-7)-(-6)][(-5)-(-4)]

-(-4)(-5)(-6)(-7)²

17.

1 point

A(2 , 3) and B(2 , m) ,where m > 3, are 2 different points on the coordinate plane. Which of the following must be true?
(You may choose more than one answer if necessary.)

AB is a line segment parallel to x-axis.

The length of AB is m - 3.

AB is a line segment parallel to y-axis.

AB is a vertical line segment.

AB is a horizontal line segment.

18.

1 point

When a shopkeeper sells a bracelet for $612, the loss per cent is 25%. If the shopkeeper wants to sell the bracelet at a profit of 20%, what is the selling price of the bracelet?

$459

$816

$979.2

$734.4

19.

1 point

m and n are two numbers such that m < 0 < n.
Which of the following would yield to a positive number?
(You may choose more than one answer if necessary.)

mn

n - m

-mn²

m(m + n)

20.

1 point

Which of the following must be a pair of like term?
(You may choose more than one answer if necessary.)

2x² and 2x³

6xy and 6y

0.3m and -49m

10x and 10x²

21.

1 point

The table shows Gary’s expenditure in October.
Gary estimates that his total expenditure in October is $6 690. The method used for estimation is

the front-end method.

rounding off to the nearest ten.

rounding down to the nearest ten.

rounding up to the nearest ten.

22.

1 point

A(2 , 40°) and B(6 , y°) are 2 distinct points on the polar coordinates plane.
It is known that A , O and B form a straight line. Find the value(s) of y.

40°

40° or 140°

180°

40° or 220°

23.

1 point

Which of the following must be true?
(You may choose more than one answer if necessary.)

-4 is an example of fraction.

The product of three consecutive integers must be an even number.

zero is an even number.

2.4 is an even number

pi = 3.141592654

24.

1 point

A cylinder with base radius 6cm and height 10cm is given.
It is known that the total surface area of the cylinder is X cm².
Besides, the volume of the cylinder is Y cm³.
Find the values of X and Y respectively.

$X=600\pi{} \text{ , }Y=120\pi{}$

$X=360\pi{} \text{ , }Y=120\pi{}$

$X=192\pi{} \text{ , }Y=360\pi{}$

$X=360\pi{} \text{ , }Y=192\pi{}$

25.

1 point

Find the 4th term of the sequence 5, -10, 20, ….

-40

-50

40

50

26.

1 point

In a company, 40% of employees are male. If 30 employees are female,
how many employees are there in the company?

50

12

75

18

27.

1 point

The number of candies owned by Peter is 10 more than 3 times of Mary's candies. If they have in total 200 candies. Which of the following equation can be used to find the number of candies owned by Mary?
(Let m be the number of candies owned by Mary.)

m + (3m - 10) = 200

m + (3m + 10) = 200

m + 3(m + 10) = 200

3(m + m - 10) = 200

28.

1 point

$\text{Solve }\frac{3x-2}{3}+\frac{4-3x}{2}+\frac{x}{6}=1.$

6

1

3

2

29.

1 point

ABC is a triangle such that ∠ABC = x° and ∠ACB = (x + 10)°.
If BC is produced at a external point D such that ∠ACD = 4x°.
Find the value of x.

10

15

5

20

30.

1 point

Find the area of sector with diameter 12cm and angle of sector 240°.
(Express your answer in terms of $\pi{}$ .)

$24\pi{}\text{cm}^{2}$

$192\pi{}\text{cm}^{2}$

$36\pi{}\text{cm}^{2}$

$96\pi{}\text{cm}^{2}$

31.

1 point

By observation, how many pairs of perpendicular line segments are there in the above figure?

4

10

8

6

32.

1 point

Which of the following nets cannot be folded to form a polyhedron?
(You may choose more than one answer if necessary.)

33.

1 point

The length and the width of a rectangle are 10 cm and 5 cm respectively. If the length of the rectangle increases by 20% and its width decreases by 10%, then the percentage change in its area is

-8%.

+10%.

-10%.

+8%.

34.

1 point

Kay has x sweets. The number of sweets that Ray has is 3 less than 2 times that Kay has. It is given that they have at least 50 sweets in total. Write an inequality to represent the above situation.

3x - 3 ≤ 50

2x - 3 ≤ 50

2x - 3 ≥ 50

3x - 3 ≥ 50

35.

1 point

The total number of $2 coins and $5 coins in a purse is 20. If the total value of $2 coins is more than that of $5 coins by $19, find the number of $5 coins in the purse.

2

1

3

4

36.

1 point

If {0, 3, -7, 1, -6} are marked on a horizontal number line, which number lies in the rightmost position of the number line?

3

-7

1

-6