Daily Practice

Higher Plus

12th May 1982

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

1
Bounds3 marks
A rectangle is 10 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 9, 20, 39, 66, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 63 wins. How many games did they play?

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