Daily Practice

Higher Plus

9th August 1990

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
2
Surds3 marks
Simplify sqrt(75) + sqrt(27), giving your answer in the form a sqrt(b).
3
Quadratic Inequalities3 marks
Solve x^2 + 11x + 28 < 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 32.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 12 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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