Daily Practice

Higher Plus

17th November 1989

5 questions · 14 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 20-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
4
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 7 in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.

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