Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th April 1993

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 4) with x(0) = 2. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 49.

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