Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th June 1995

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 2.5, one 10 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
3
Factorising Harder Quadratics3 marks
Solve 2x^2 - x - 10 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 12.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 6 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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