Daily Practice · Higher Plus

Daily Practice - Higher Plus

29th September 1993

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

1
Bounds3 marks
A rectangle is 6 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Factorising Harder Quadratics3 marks
Solve 6x^2 - 5x - 4 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 11 cm with an angle of 71° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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