Daily Practice · Higher

Daily Practice - Higher

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

4th March 2024

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

1
Repeated Percentage Change3 marks
A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 23 cm and an angle of 38°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
3 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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