Daily Practice

Higher Plus

12th December 1964

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

1
Bounds3 marks
A car covers 840 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 8 = y(x + 8).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 65 wins. How many games did they play?

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