Daily Practice

Higher Plus

21st June 1988

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

1
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x + 7 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.
4
The Sine Rule3 marks
In triangle ABC, angle A is 37°, side a is 16 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 10 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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