Daily Practice

Higher Plus

23rd April 1975

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

1
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A rectangle is 27 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Completing the Square3 marks
Write x^2 - 14x - 14 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

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