Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th July 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 1.2, one 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 4) with x(0) = 4. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 324. Work out the positive value of x when y = 81.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 10 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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