Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

1st April 2011

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 9 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 5 red and n blue counters. The probability of taking a red is 5/12. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
4
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.

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