Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

8th August 2013

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(45) + sqrt(125), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 6/(x - 2) + 4/(x - 6) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 150.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 7 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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