Daily Practice

Higher Plus

3rd April 1978

5 questions · 13 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 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -2, 0, 6, 16. Work out the second difference, and the coefficient of n^2.
3
Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of m and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 22 wins. How many games did they play?

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