HKDSE Maths MCQ Speed Training 4 (40 mins)

[Ref.: HKDSE 2018 Q.31 (66%)]

Let f(x) be a quadratic function. The figure shown may represent the graph of y = f(x) and

• A. the graph of y = - 3f(x) .

• B. the graph of y = f(- 3x) .

• C. the graph of y = - f(x + 6) .

• D. the graph of y = f(- x + 15) .

[Ref.: HKDSE 2019 Q.42 (65%)]

There are 4 white balls, 6 blue balls and 4 red balls in a bag. If 5 balls are randomly drawn from the bag at the same time, find the probability that at most 1 white ball is drawn.

[Ref.: HKDSE 2012 Q.38 (63%)]

Which of the following may represent the graph of y = f(x) and the graph of y = f(x - 3) + 2 on the same rectangular coordinate system?

• 
• 
• 
• 

[Ref.: HKDSE 2017 Q.43 (59%)]

When Andy throws a dart, the probability that he hits the target is 0.6. If Andy throws the dart 5 times, find the probability that he hits the target less than twice.

• A. 0.0256

• B. 0.087 04

• C. 0.912 56

• D. 0.9744

[Ref.: HKDSE 2014 Q.44 (57%)]

In an examination, Andy gets 54 marks and his standard score is - 2 while Mary gets 70 marks and her standard score is 1.2. Find the mean of the examination scores.

• A. 5 marks

• B. 54 marks

• C. 64 marks

• D. 66 marks

[Ref.: HKDSE 2019 Q.35 (53%)]

Consider the following system of inequalities:

Let D be the region which represents the solution of the above system of inequalities. If (x, y) is a point lying in D, then the greatest value of x + 2y + 2 is

• A. 14.5 .

• B. 22 .

• C. 23 .

• D. 24.5 .

[Ref.: HKDSE 2015 Q.44 (52%)]

Bag P contains 1 white ball and 4 black balls while bag Q contains 3 white balls and 2 black balls. If a bag is randomly chosen and a ball is randomly drawn from the bag, find the probability that a white ball is drawn.

[Ref.: HKDSE 2018 Q.42 (51%)]

There are 10 students from school A and 6 students from school B. If 4 students of the same school are selected to form a group, how many different groups can be formed?

• A. 15

• B. 210

• C. 225

• D. 1820

[Ref.: HKDSE 2017 Q.38 (49%)]

In the figure, ABCD is a rectangle. If E is a point lying on AC such that AE = 26 cm, then DE =

[Ref.: HKDSE 2017 Q.45 (48%)]

Let m₁, r₁ and v₁ be the mean, the range and the variance of a group of numbers {x₁, x₂, x₃, x₄, x₅, x_6, x₇} respectively while m₂, r₂ and v₂ be the mean, the range and the variance of another group of numbers {3x₁ + 1, 3x₂ + 1, 3x₃ + 1, 3x₄ + 1, 3x₅ + 1, 3x₆ + 1, 3x₇ + 1} respectively. Which of the following must be true?

I. m₂ = 3m₁ + 1

II. r₂ = 3r₁ + 1

III. v₂ = 3v₁ + 1

• A. I only

• B. II only

• C. I and III only

• D. II and III only