Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th March 2005

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

1
Bounds3 marks
x = 143 and y = 60, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 2/(x - 4) + 3/(x + 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 64.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 8 cm and an area of 22.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.

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