Daily Practice

Higher Plus

28th October 1959

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A rectangle is 13 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 17, 25, 35. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 8 cm and 13 cm with an angle of 104° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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