Daily Practice

Higher Plus

21st September 1978

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 9 cm by 5 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 10 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
4
Surds3 marks
Simplify sqrt(18) + sqrt(98), giving your answer in the form a sqrt(b).
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x + 13.

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