Daily Practice

Higher Plus

27th August 1973

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

1
Bounds3 marks
A block has mass 630 g (to the nearest 10 g) and volume 6 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) = 7x - 4. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 8 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 1 : 3. Write vector OX in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 16 wins. How many games did they play?

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