Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st July 2004

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

1
Bounds3 marks
A rectangle is 22 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x - 4.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 4 cm, 9 cm and 7 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.

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