Daily Practice

Higher Plus

25th September 1955

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

1
Bounds3 marks
x = 166 and y = 108, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 6 = y(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 8 cm and an area of 34.64 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) = 1/21. Work out r.

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