Daily Practice

Higher Plus

23rd March 1979

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

1
Surds3 marks
Rationalise the denominator of 77/sqrt(7), giving your answer in its simplest form.
2
Factorising Harder Quadratics3 marks
Solve 12x^2 - 35x + 25 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 81.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 12 cm and an area of 67.88 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) = 1/15. Work out r.

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