Daily Practice

Higher Plus

22nd July 1957

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

1
Bounds3 marks
A block has mass 430 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 4x - 6 and g(x) = 5x + 9. Work out fg(4).
3
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 64 wins. How many games did they play?

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