Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd February 2002

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

1
Bounds3 marks
A car covers 870 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 4 = y(x + 4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 9.
4
The Cosine Rule3 marks
A triangle has sides 8 cm, 10 cm and 7 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.

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