Daily Practice

Higher Plus

16th December 1973

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 3 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?
4
Bounds3 marks
x = 36 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Completing the Square3 marks
Write x^2 + 12x - 1 in the form (x + a)^2 + b.

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