Daily Practice

Higher Plus

24th December 1972

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

1
Bounds3 marks
x = 109 and y = 34, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Write x^2 + 12x + 4 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 64.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 9 cm and an area of 36.00 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) = 1/7. Work out r.

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