Daily Practice

Higher Plus

29th January 1988

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

1
Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x - 6.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 9 cm and 16 cm with an angle of 142° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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