Daily Practice

Higher Plus

25th May 1977

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 1.2, one 10 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A rectangle is 13 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Transforming Graphs y=f(x)3 marks
The point (5, -6) lies on y = f(x). Write down its image on y = -f(x).
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 = 384.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 13 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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