Daily Practice

Higher Plus

30th October 1986

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(12), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 16, 39, 70, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.
4
The Sine Rule3 marks
In triangle ABC, angle A is 35°, side a is 11 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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