Daily Practice

Higher Plus

17th January 1981

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

1
Bounds3 marks
A car covers 820 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
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 32, 63, 104. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 44 wins. How many games did they play?

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