Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd June 1999

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 17 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 24.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 3 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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