Daily Practice

Higher Plus

27th June 1955

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

1
Bounds3 marks
A block has mass 720 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Factorising Harder Quadratics3 marks
Solve 15x^2 - 13x - 20 = 0.
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
Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 11 cm and an area of 28.58 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.

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