Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th June 2008

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 3 cm by 13 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 2/7. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 20 units wide with density 0.8. How many values in total?
4
Bounds3 marks
x = 101 and y = 73, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 7) with x(0) = 4. Work out x(1) to 3 decimal places.

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