Daily Practice

Higher Plus

30th October 1970

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

1
Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 6/(x + 4) + 2/(x + 1) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 6 cm with an angle of 72° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 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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