Daily Practice

Higher Plus

22nd October 1986

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 28/55. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A rectangle is 26 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.

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