Daily Practice

Higher Plus

15th December 1961

5 questions · 15 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 1.2, one 20 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
3
Factorising Harder Quadratics3 marks
Solve 12x^2 - 13x + 3 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 12. Work out the positive value of x when y = 27.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 6 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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