Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th January 2006

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 1.5, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 7 = y(x + 7).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 50.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 7 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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