Daily Practice

Higher Plus

2nd July 1978

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

1
Bounds3 marks
x = 167 and y = 112, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 3x - 1 and g(x) = 4x - 7. Work out fg(0).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 16.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of c and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 36 wins. How many games did they play?

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