Quiz about HKDSE Maths MCQ Speed Training 1 (20 mins)

Question 1

[Ref.: HKDSE 2017 Q.4 (90%)]

$$\frac{\pi}{200}$$ =

Accepted Answer

C. 0.01571 (correct to 5 decimal places)

Answer

A. 0.015 (correct to 3 decimal places)

Answer

B. 0.0157 (correct to 4 significant figures)

Answer

D. 0.015707 (correct to 5 significant figures)

Question 2

[Ref.: HKDSE 2019 Q.11 (76%)]

A sum of $20 000 is deposited at an interest rate of 12% per annum for 10 years, compounded monthly. Find the interest correct to the nearest dollar.

Accepted Answer

C. $46 008

Answer

A. $24 000

Answer

B. $42 117

Answer

D. $66 008

Question 3

[Ref.: HKDSE 2018 Q.7 (73%)]

If f(x) = 5x² - 3x + 1, then f(2m - 1) =

Accepted Answer

D. 20m² - 26m + 9.

Answer

A. 10m² - 6m + 3.

Answer

B. 10m² - 6m + 9.

Answer

C. 20m² - 26m + 3.

Question 4

[Ref.: HKDSE 2017 Q.2 (72%)]

$$\frac{2^{333}}{4^{666}}=$$

Accepted Answer

D. $$\frac{1}{2^{999}}$$

Answer

A. $$\frac{1}{4}$$

Answer

B. $$\frac{1}{2^{333}}$$

Answer

C. $$\frac{1}{2^{666}}$$

Question 5

[Ref.: HKDSE 2018 Q.10 (72%)]

Let a, b and c be non-zero constants. If 3a = 2c and b : c = 5 : 2, then (a + 2c) : (2b + c) =

Accepted Answer

B. 4 : 9.

Answer

A. 3 : 7.

Answer

C. 5 : 11.

Answer

D. 7 : 12.

Question 6

[Ref.: HKDSE 2016 Q.10 (69%)]

Tommy has 200 tokens. The number of tokens that Jerry has is 40% of that of Tommy and the number of tokens Maisy has is 20% more than that of Jerry. The total number of tokens is

Accepted Answer

C. 376.

Answer

A. 280.

Answer

B. 320.

Answer

D. 520.

Question 7

[Ref.: HKDSE 2019 Q.13 (69%)]

It is given that z varies as x and inversely as y. If x is decreased by 10% and y is increased by 20%, then z

Accepted Answer

C. is decreased by 25%.

Answer

A. is increased by 25%.

Answer

B. is increased by 50%.

Answer

D. is decreased by 50%.

Question 8

[Ref.: HIKDSE 2018 Q.11 (67%)]

If z varies inversely as x and directly as the square of y, which of the following must be constant?

Accepted Answer

C. $$\frac{y^2}{xz}$$

Answer

A. xy2z

Answer

B. x2yz2

Answer

D. $$\frac{y}{x^2z}$$

Question 9

[Ref.: HKDSE 2019 Q.12 (66%)]

The cost of coffee bean A is $58/kg. If 4 kg of coffee bean A and 6 kg of coffee bean B are mixed so that the cost of the mixture is $52/kg, find the cost of coffee bean B.

Accepted Answer

C. $48/kg

Answer

A. $43/kg

Answer

B. $46/kg

Answer

D. $55/kg

Question 10

[Ref.: HKDSE 2019 Q.7 (63%)]

The solution of - 5x < 15 < 3x is

Accepted Answer

C. x > 5.

Answer

A. x > -3.

Answer

B. x > 0.

Answer

D. -3 < x < 5.

Question 11

[Ref.: HKDSE 2018 Q.5 (61%)]

Which of the following statements about the graph of y = 25 - (x - 5)² is true?

Accepted Answer

D. The graph passes through the origin.

Answer

A. The graph does not cut the x-axis.

Answer

B. The graph opens upwards.

Answer

C. The y-intercept of the graph is 16.

Question 12

[Ref.: HKDSE 2015 Q.7 (59%)]

If $$\beta$$ is a root of the equation $$2x^{2\ }-7x-1=0$$ , then $$7+21\beta-6\beta^2$$ =

Accepted Answer

A. 4.

Answer

B. 6.

Answer

C. 8.

Answer

D. 10.

Question 13

[Ref.: HKDSE 2014 Q.12 (59%)]

It is given that $$\frac{2}{3a}=\frac{3}{4b}=\frac{4}{5c}$$ , where a , b and c are positive numbers. Which of the following is true?

Accepted Answer

A. a < b < c

Answer

B. a < c < b

Answer

C. b < a < c

Answer

D. b < c < a

Question 14

[Ref.: HKDSE 2016 Q.19 (59%)]

In the figure, OAB and OCD are sectors with centre O, where OA = 18 cm and OC = 24 cm. The area of the shaded region is 42 $$\pi$$ cm². Which of the following are true?

I. The angle of the sector OAB is 60^o.

II. The area of the sector OAB is 54 $$\pi$$ cm².

III. The arc length of the sector OCD is 8 $$\pi$$ cm.

Accepted Answer

D. I, II and III

Answer

A. I and II only

Answer

B. I and III only

Answer

C. II and III only

Question 15

[Ref.: HKDSE 2014 Q.11 (57%)]

The width and the length of a thin rectangular card are measured as 4 cm and 5 cm correct to the nearest cm respectively. Let x cm² be the actual area of the card. Find the range of values of x .

Accepted Answer

A. 15.75 < x < 24.75

Answer

B. 15.75 < x < 24.75

Answer

C. 19.5 < x < 20.5

Answer

D. 19.5 < x < 20.5

Question 16

[Ref.: HKDSE 2015 Q.14 (57%)]

The weight of a bag of sugar is 10.0 kg correct to the nearest 0.1 kg. If all the sugar is divided into n packs such that the weight of each pack is 80 g correct to the nearest g, find the least possible value of n .

Accepted Answer

B. 124

Answer

A. 123

Answer

C. 125

Answer

D. 126

Question 17

[Ref.: HKDSE 2017 Q.11 (56%)]

The scale of a map is 1 : 2000. If the area of a zoo on the map is 3 cm², then the actual area of the zoo is

Accepted Answer

D. 1200 m².

Answer

A. 600 m².

Answer

B. 800 m².

Answer

C. 1000 m².

Question 18

[Ref.: HKDSE 2015 Q.8 (53%)]

The figure shows the graph of y = a(x - b)², where a and b are constants. Which of the following is true?

Accepted Answer

B. a < 0 and b > 0

Answer

A. a < 0 and b < 0

Answer

C. a > 0 and b < 0

Answer

D. a > 0 and b > 0

Question 19

[Ref.: HKDSE 2014 Q.6 (53%)]

If a > b and k < 0, which of the following must be true?

I. a⁴ > b⁴

II. a - k > b - k

III. $$\frac{a}{k^{2\ }}>\frac{b}{k^2}$$

Accepted Answer

D. II and III only

Answer

A. I only

Answer

B. II only

Answer

C. I and III only

Question 20

[Ref.: HKDSE 2014 Q.14 (50%)]

Let a_n be the nth term of a sequence. If a₂ = 8, a₄ = 64 and a_n_{+ 2} = a_n_{+ 1} + a_n, then a₅ =

Accepted Answer

D. 120.

Answer

A. 56.

Answer

B. 64.

Answer

C. 90.

Question 21

[Ref.: HKDSE 2013 Q.10 (45%)]

Billy sells two paintings for $7500 each. He gains 50% on one and loses 50% on the other. After the two transactions, Billy

Accepted Answer

A. loses $5000.

Answer

B. gains $1250.

Answer

C. gains $3750.

Answer

D. has no gain and no loss.

Question 22

[Ref.: HKDSE 2017 Q.9 (44%)]

The figure shows the graph of y = (px + 5)² + q, where p and q are constants. Which of the following is true?

Accepted Answer

C. p > 0 and q < 0

Answer

A. p < 0 and q < 0

Answer

B. p < 0 and q > 0

Answer

D. p > 0 and q > 0

Question 23

[Ref.: HKDSE 2013 Q.18 (37%)]

In the figure ABCD is a parallelogram. E is a point on BC such that BE : EC = 3 : 4. DE and AC intersect at F . If the area of $$\Delta$$ DCF is 56 cm², then the area of the quadrilateral ABEF is

Accepted Answer

C. 122 cm².

Answer

A. 98 cm².

Answer

B. 112 cm².

Answer

D. 140 cm².

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