Daily Practice

Higher Plus

13th September 1964

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

1
Bounds3 marks
x = 115 and y = 26, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Factorising Harder Quadratics3 marks
Solve 15x^2 - 19x + 6 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 24 wins. How many games did they play?

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