Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd March 2012

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, one 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).
3
Factorising Harder Quadratics3 marks
Solve 12x^2 + 35x + 25 = 0.
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 = 98.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 13 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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