Daily Practice

Higher Plus

2nd April 1979

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) = 3/14. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
A block has mass 210 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Algebraic Fractions3 marks
Simplify (x^2 - 6x + 8)/(x - 2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.

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