Daily Practice

Higher Plus

23rd February 1960

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 7/12. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
4
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 36.

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