Daily Practice

Higher Plus

16th October 1977

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, one 20 units wide with density 0.8. How many values in total?
2
Bounds3 marks
x = 177 and y = 62, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x - 3.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 28.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 4 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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