Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th September 2002

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 = 49, y = 14. Work out y when x = 9.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of p and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 24 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Bounds3 marks
A car covers 360 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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