Daily Practice

Higher Plus

17th October 1987

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

1
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.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
A car covers 160 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.

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