Daily Practice

Higher Plus

1st December 1965

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

1
Bounds3 marks
A rectangle is 6 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 7 cm and an area of 30.31 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.

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