Daily Practice

Higher Plus

27th August 1989

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

1
Bounds3 marks
x = 146 and y = 77, each correct to the nearest whole number. Work out the upper bound of x - y.
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 directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 13 cm and an area of 52.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.

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