Daily Practice

Higher Plus

20th November 1966

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 133 and y = 61, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 10 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 9 cm with an angle of 134° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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