Daily Practice

Higher Plus

30th January 1973

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

1
Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 8) with x(0) = 1. Work out x(1) to 3 decimal places.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out the positive value of x when y = 80.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 3 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/11. Work out n.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.8. How many values in total?

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