Daily Practice · Higher

Daily Practice - Higher

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

5th April 2024

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6363... as a fraction in its simplest form.
4
Simultaneous Equations3 marks
4 teas and 3 cakes cost £19.70. 3 teas and 4 cakes cost £20.55. Find the price of a tea.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 9. Work out y when x = 12.

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