Daily Practice

Higher Plus

27th May 1966

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 3 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 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 3. How many values in total?
4
Surds3 marks
Rationalise the denominator of 33/sqrt(3), giving your answer in its simplest form.
5
Quadratic Inequalities3 marks
Solve x^2 - 4x - 5 > 0.

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