Daily Practice

Higher Plus

28th February 1988

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

1
Bounds3 marks
x = 191 and y = 27, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Factorising Harder Quadratics3 marks
Solve 8x^2 + 30x + 25 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 18 cm with an angle of 112° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 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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