Daily Practice

Higher Plus

20th June 1970

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

1
Bounds3 marks
A car covers 350 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Completing the Square3 marks
Write x^2 - 2x - 6 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 15 cm, 14 cm and 9 cm. Work out the angle opposite the 15 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 1/2. Work out n.

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