Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th February 2000

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x - 7.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 12. Work out the positive value of x when y = 108.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 13 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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