Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th July 2012

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 12 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
5
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 4 = y(x + 4).

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