Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th August 2019

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 13 cm by 9 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 5 units wide with frequency density 0.4, one 20 units wide with density 1.4. How many values in total?
4
Bounds3 marks
A car covers 850 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 3) with x(0) = 3. Work out x(1) to 3 decimal places.

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