Daily Practice

Higher Plus

15th January 1956

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

1
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
3
Bounds3 marks
x = 152 and y = 15, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Completing the Square3 marks
Write x^2 - 4x - 12 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.

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