Daily Practice

Higher Plus

4th December 1977

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

1
Bounds3 marks
x = 129 and y = 33, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 10 wins. How many games did they play?

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