Daily Practice

Higher Plus

17th August 1975

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 110 and y = 82, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 36 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 18 wins. How many games did they play?

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