Daily Practice

Higher Plus

20th September 1989

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

1
Bounds3 marks
A rectangle is 9 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Quadratic Inequalities3 marks
Solve x^2 + 10x + 21 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 9 cm with an angle of 136° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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