Core Mathematics

Question 1

1Simplify (2√3 − √2)(2√3 + √2).

Hard

A. 10 B. 12 C. 4√6 D. 14

Question 2

2Arrange √2, 1.5, 7/5 in ascending order.

Hard

A. 7/5, √2, 1.5 B. √2, 7/5, 1.5 C. 7/5, 1.5, √2 D. 1.5, √2, 7/5

Question 3

3Rationalise 6/√2.

Easy

A. √3 B. 6√2 C. 2√6 D. 3√2

Question 4

4Evaluate (2√3)².

Easy

A. 12 B. 6 C. 36 D. 4√3

Question 5

5Add 101₂ and 111₂.

Easy

A. 1100₂ B. 1110₂ C. 1010₂ D. 212₂

Question 6

6Which of these is a rational number?

Easy

A. √0.25 B. √2 C. π D. √7

Question 7

7Convert 1101₂ to base ten.

Easy

A. 13 B. 15 C. 9 D. 11

Question 8

8Simplify √50 − √18.

Medium

A. √32 B. 8√2 C. 4√2 D. 2√2

Question 9

9Rationalise the denominator of 6/√3.

Medium

A. √3/2 B. 2√3 C. 3√2 D. 6√3

Question 10

10Simplify √12 × √3.

Easy

A. √15 B. 6 C. 36 D. 3√2