Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th September 2003

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
3
Completing the Square3 marks
Write x^2 + 14x - 10 in the form (x + a)^2 + b.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 18.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 15 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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