Daily Practice

Higher Plus

20th January 1978

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 5 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
3
Completing the Square3 marks
Write x^2 + 2x - 14 in the form (x + a)^2 + b.
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 = 196.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 8 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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