Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th November 2015

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 7 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 5 red and n blue counters. The probability of taking a red is 5/9. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
4
Surds3 marks
Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.
5
Completing the Square3 marks
Write x^2 - 10x + 15 in the form (x + a)^2 + b.

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