Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

19th January 2001

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 1.2, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
3
Factorising Harder Quadratics3 marks
Solve 20x^2 + 17x - 10 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 12.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 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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