Daily Practice

Higher Plus

13th September 1968

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 13 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 0.6. How many values in total?
4
Surds3 marks
Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.
5
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?

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