Daily Practice

Higher Plus

29th June 1982

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

1
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x + 8.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 17 cm with an angle of 29° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 4 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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