[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.

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

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

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

$$\frac{2^{333}}{4^{666}}=$$  

[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) =

[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

[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

[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?

[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.

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

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

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

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

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

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

[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?

[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.

[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 .

[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 .

[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

[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?

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

[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 =

[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

[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?

[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