Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th March 2022

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

1
Bounds3 marks
x = 73 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 4 = y(x + 4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?

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