Sample Questions

This page contains a sample quiz for the Year 10 level of HSFOL.

Answers are available at the bottom of the page.

Year 10 Practice Quiz

Question 1

Jack adds four consecutive odd integers. If the smallest one is 2m – 1, what is the sum of the four integers?

8m + 8 8m + 10 8m + 2 None of these

Question 2

Six balls numbered 1 to 6 are in a hat and two are drawn at random. What is the probability that the two numbers drawn differ by 1?

Ans

Question 3

If , then what is the value of

Ans

Question 4

In the figure shown, the sizes of certain angles are shown in degrees. What is the value of x?

Ans degrees

Question 5

A 1 x 1 square is made using four matchsticks; and a 2 x 2 square with all the unit squares inside, uses 12 matchsticks as shown. What is the number of matchsticks needed to construct a 20 x 20 square with all the unit squares inside?

Ans matchsticks

Question 6

If n is an integer, which of the following must be an odd integer?

5n (n^2) + 5 n^3 n + 16 (2n^2) + 5