Daily Practice

Higher Plus

4th March 1978

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

1
Bounds3 marks
A car covers 870 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
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 16, 31, 52, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. M is the midpoint. Write vector OM in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 32 wins. How many games did they play?

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