Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th October 2017

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 12 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
4
Surds3 marks
Simplify sqrt(27) + sqrt(75), giving your answer in the form a sqrt(b).
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x - 8.

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