Daily Practice

Higher Plus

13th October 1971

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

1
Bounds3 marks
A rectangle is 10 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 13 cm, 9 cm and 7 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.

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