Daily Practice

Higher Plus

7th July 1981

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 6 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3. How many values in total?
4
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x - 12.

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