Daily Practice

Higher Plus

18th November 1956

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

1
Bounds3 marks
x = 166 and y = 150, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Factorising Harder Quadratics3 marks
Solve 8x^2 - 2x - 3 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 25.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 7 cm and an area of 22.75 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.

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