Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th September 2007

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 3.5. How many values in total?
2
Bounds3 marks
x = 142 and y = 69, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Simplify (x^2 + 5x - 24)/(x - 3).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 144. Work out the positive value of x when y = 729.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 8 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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