Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

28th September 2021

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. Write y in terms of x.
2
Vectors3 marks
a is the column vector (-2, -5) and b is (-4, -3). Work out 3a - 2b as a column vector.
3
Probability Trees3 marks
1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
25 newts are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
5
Bounds2 marks
A mass is 6 kg, correct to the nearest whole number. Write down the lower bound.

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