Daily Practice

Higher Plus

7th September 1975

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 5 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
x = 138 and y = 55, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?

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