Daily Practice · Higher Plus

Daily Practice - Higher Plus

14th April 1997

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 10 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. 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
Bounds3 marks
A block has mass 610 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 4) with x(0) = 2. Work out x(1) to 3 decimal places.

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