Daily Practice

Higher Plus

6th March 1974

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A rectangle is 19 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Algebraic Fractions3 marks
Simplify (x^2 - 3x - 4)/(x + 1).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 200.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 11 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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