Daily Practice

Higher Plus

3rd June 1958

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

1
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/7. Work out n.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 3) with x(0) = 5. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.

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