Daily Practice

Higher Plus

25th August 1987

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
3
Factorising Harder Quadratics3 marks
Solve 12x^2 + 17x - 5 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 72.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 8 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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