Daily Practice

Higher Plus

30th April 1959

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 2.5, one 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(18) + sqrt(50), giving your answer in the form a sqrt(b).
3
Quadratic Inequalities3 marks
Solve x^2 - 12x + 20 > 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out the positive value of x when y = 150.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 6 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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