Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th September 2024

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 25.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of c and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 55 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
5
Bounds3 marks
A rectangle is 13 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.

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