Daily Practice

Higher Plus

28th September 1959

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

1
Bounds3 marks
A block has mass 230 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 17, 39, 69, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 10 cm and 18 cm with an angle of 110° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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