Daily Practice · Higher Plus

Daily Practice - Higher Plus

9th December 1991

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

1
Bounds3 marks
A block has mass 830 g (to the nearest 10 g) and volume 15 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 Sequence2 marks
A quadratic sequence starts 12, 23, 40, 63. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 16 cm with an angle of 82° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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