Daily Practice · Higher Plus

Daily Practice - Higher Plus

14th July 1995

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 0.4, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 6, 15, 28, ...
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out the positive value of x when y = 216.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 5 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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