Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th January 2014

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 4 cm by 5 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 1/2. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 1.4. How many values in total?
4
Bounds3 marks
A rectangle is 5 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.

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