Daily Practice

Higher Plus

21st July 1963

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

1
Bounds3 marks
x = 176 and y = 163, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 8 = y(x + 8).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of p and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 3 wins. How many games did they play?

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