Daily Practice

Higher Plus

13th December 1957

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

1
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
2
Proof2 marks
In an algebraic proof, how would you write a multiple of 7 in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 8 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 11 cm and an area of 46.67 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.

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