Daily Practice

Higher Plus

12th December 1956

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

1
Bounds3 marks
A rectangle is 15 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 10, 19, 30, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 8 cm with an angle of 94° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 5 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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