Daily Practice

Higher Plus

13th March 1991

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 2, one 25 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A rectangle is 29 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x - 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 = 343.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 13 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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