Daily Practice

Higher Plus

27th March 1977

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

1
Bounds3 marks
x = 36 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 7 = y(x + 7).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 17 cm with an angle of 48° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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