Daily Practice

Higher Plus

27th September 1954

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 7 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
4
Bounds3 marks
A block has mass 800 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?

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