Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th March 1997

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 25 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A rectangle is 20 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 216.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 4 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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