Daily Practice

Higher Plus

6th March 1975

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 1/2. Work out n.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(20) + sqrt(80), giving your answer in the form a sqrt(b).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 5) 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 = 3, y = 54. Work out y when x = 5.

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