Daily Practice

Higher Plus

11th July 1958

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
2
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 8 = y(x + 8).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 9.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 10 cm and an area of 60.62 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.

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