Daily Practice

Higher Plus

16th November 1971

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

1
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 4 wins. How many games did they play?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
3
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
4
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.

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