Daily Practice

Higher Plus

4th December 1986

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, one 10 units wide with density 1.4. How many values in total?
2
Surds3 marks
Simplify sqrt(45) + sqrt(180), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 4x + 7 and g(x) = 3x + 8. Work out fg(2).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 392.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 5 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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