Daily Practice

Higher Plus

27th October 1982

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

1
Bounds3 marks
A rectangle is 5 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 7 = y(x + 7).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 6 cm and 11 cm with an angle of 54° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 7 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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