Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th August 1992

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

1
Bounds3 marks
A rectangle is 16 cm by 12 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 4x + 2 = y(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 48. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 10 cm with an angle of 148° 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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