Daily Practice

Higher Plus

6th February 1983

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

1
Bounds3 marks
x = 144 and y = 108, 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 8x + 5 = y(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. P is the midpoint. Write vector OP in terms of c and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 12 wins. How many games did they play?

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