Daily Practice

Higher Plus

30th May 1954

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 7 cm by 6 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 8/15. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 0.8. How many values in total?
4
Bounds3 marks
x = 156 and y = 40, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Completing the Square3 marks
Write x^2 + 6x - 8 in the form (x + a)^2 + b.

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