Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd February 1999

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 2) with x(0) = 2. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 28.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 4 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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