Daily Practice

Higher Plus

23rd March 1989

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 2, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(80) + sqrt(80), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Write x^2 + 2x + 3 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 = 18. Work out the positive value of x when y = 162.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 12 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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