Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th June 2010

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

1
Bounds3 marks
x = 42 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 7 = y(x + 7).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 24 cm, 16 cm and 10 cm. Work out the angle opposite the 24 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.

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