Daily Practice

Higher Plus

3rd June 1990

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) = 5/14. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
x = 142 and y = 104, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Algebraic Fractions3 marks
Simplify (x^2 + 5x - 24)/(x - 3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.

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