Daily Practice

Higher Plus

5th December 1986

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

1
Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 + 7x + 10 > 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 32 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 17 cm with an angle of 56° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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