Daily Practice

Higher Plus

24th May 1959

5 questions · 14 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 1.5, one 10 units wide with density 1.4. How many values in total?
2
Bounds3 marks
x = 39 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 8.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 12 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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