Daily Practice

Higher Plus

15th July 1968

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 6 cm by 10 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 3/10. 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 0.8. How many values in total?
4
Bounds3 marks
A block has mass 260 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 16, 38, 68, ...

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