Term 1 review
Answers are for parents and teachers.
1
Simplify √75 + √12 − 2√3 and (√6)² − 3² ÷ 3.
5√3 + 2√3 − 2√3 = 5√3; 6 − 3 = 3.
2
Write A = ]−4, 3] and B = [0, 6[ and find A ∩ B, A ∪ B and A − B.
[0, 3]; ]−4, 6[; ]−4, 0[.
3
Solve x² − 5x − 24 = 0 by factorising.
(x − 8)(x + 3) = 0, so x = 8 or x = −3.
4
Each interior angle of a regular polygon is 156°. How many sides, and how many diagonals?
Exterior 24°, so n = 15; diagonals 15 × 12 ÷ 2 = 90.
5
Classes 0–, 10–, 20–, 30–40 have frequencies 5, 7, 6, 2. Find the mean.
25 + 105 + 150 + 70 = 350; 350 ÷ 20 = 17.5.