Daily Practice

Higher Plus

30th December 1981

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 1.2, one 20 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 24 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Algebraic Fractions3 marks
Simplify (x^2 + 3x + 2)/(x + 2).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out the positive value of x when y = 63.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 4 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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