Daily Practice

Higher Plus

9th November 1952

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

1
Bounds3 marks
x = 84 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 - 3x - 4 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 16 cm and an area of 110.85 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) = 36/55. Work out r.

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