Daily Practice

Higher Plus

25th February 1968

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

1
Bounds3 marks
x = 143 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = q. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of m and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 39 wins. How many games did they play?

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