Daily Practice

Higher Plus

5th October 1953

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

1
Bounds3 marks
A block has mass 510 g (to the nearest 10 g) and volume 7 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 the next odd number after 2n + 1 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 6 cm and an area of 12.73 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.

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