Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th September 2000

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

1
Bounds3 marks
x = 128 and y = 24, 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 6x + 5 = y(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 3 cm, 9 cm and 9 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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