Daily Practice

Higher Plus

22nd September 1967

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

1
Surds3 marks
Rationalise the denominator of 48/sqrt(6), giving your answer in its simplest form.
2
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 25.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 7 cm and an area of 24.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 28/55. Work out r.

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