Daily Practice

Higher Plus

23rd February 1974

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 760 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 6 wins. How many games did they play?

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