Daily Practice

Higher Plus

16th March 1972

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 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(32) + sqrt(18), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x - 10.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out the positive value of x when y = 567.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 8 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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