Daily Practice

Higher Plus

20th October 1989

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

1
Surds3 marks
Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.
2
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 2 = y(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 6 cm with an angle of 40° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 6 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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