Daily Practice

Higher Plus

17th October 1954

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 1.5, one 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 66 and y = 55, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out the positive value of x when y = 100.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 15 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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