Daily Practice

Higher Plus

24th January 1978

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 7 cm by 4 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 1/5. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
5
Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.

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