Daily Practice

Higher Plus

19th February 1954

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 1.5, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
3
Factorising Harder Quadratics3 marks
Solve 16x^2 + 32x + 15 = 0.
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 = 64.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 13 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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