Daily Practice

Higher Plus

12th December 1987

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 6 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, 20, 39, 64, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. M is the midpoint. Write vector OM in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 52 wins. How many games did they play?

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