Daily Practice · Higher Plus

Daily Practice - Higher Plus

9th June 1992

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 4 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 1/2. Work out n.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
5
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?

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