Daily Practice

Higher Plus

13th December 1985

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 13 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
4
Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
5
Quadratic Inequalities3 marks
Solve x^2 - 8x + 15 < 0.

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