Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd November 2024

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 100 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
3
Velocity Time Graphs2 marks
A train slows steadily from 12 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides 14 cm, 8 cm and 8 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.

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