Daily Practice

Higher Plus

19th October 1964

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

1
Bounds3 marks
A block has mass 840 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
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 9. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 13 cm, 10 cm and 9 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/5. Work out n.

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