Daily Practice

Higher Plus

20th July 1986

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

1
Bounds3 marks
x = 89 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 9, 18, 31, 48, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 39 wins. How many games did they play?

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