Daily Practice

Higher Plus

10th January 1971

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

1
Bounds3 marks
x = 70 and y = 12, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Write x^2 - 12x + 3 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 29 m/s to rest in 8 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of c and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 84 wins. How many games did they play?

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