Daily Practice

Higher Plus

5th June 1975

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 10 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(20) + sqrt(180), giving your answer in the form a sqrt(b).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 12, 28, 50, ...
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 = 75.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 14 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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