Daily Practice

Higher Plus

28th April 1979

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

1
Bounds3 marks
A car covers 110 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.
2
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of q and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 42 wins. How many games did they play?

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