Daily Practice

Higher Plus

6th January 1982

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

1
Bounds3 marks
A rectangle is 26 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Factorising Harder Quadratics3 marks
Solve 20x^2 - 19x + 3 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 11 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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