Daily Practice

Higher Plus

3rd January 1964

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

1
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 6) with x(0) = 2. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.

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