Daily Practice

Higher Plus

12th December 1988

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

1
Bounds3 marks
A block has mass 680 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 16.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 8 cm and 12 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.

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