Daily Practice

Higher Plus

20th June 1962

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

1
Bounds3 marks
A rectangle is 11 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Factorising Harder Quadratics3 marks
Solve 10x^2 + 27x + 18 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 36.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 10 cm and an area of 24.75 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) = 5/18. Work out r.

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