Daily Practice

Higher Plus

23rd June 1974

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

1
Bounds3 marks
x = 138 and y = 118, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Factorising Harder Quadratics3 marks
Solve 4x^2 - 4x - 3 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 72 wins. How many games did they play?

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