Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th June 2000

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 6 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 4 red and n blue counters. The probability of taking a red is 2/5. Work out n.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
5
Completing the Square3 marks
Write x^2 + 2x + 2 in the form (x + a)^2 + b.

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