Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

1st August 2018

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A rectangle is 26 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Algebraic Fractions3 marks
Write 3/(x + 5) + 3/(x - 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 54 wins. How many games did they play?

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