Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd February 2019

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

1
Bounds3 marks
x = 76 and y = 59, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Simplify (x^2 - 12x + 32)/(x - 8).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 18 cm, 10 cm and 15 cm. Work out the angle opposite the 18 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.

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