Daily Practice · Higher

Daily Practice - Higher

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

1st October 2025

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Speed and Density2 marks
A block has volume 120 cm^3 and density 2.5 g/cm^3. Work out its mass.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 12 cm and an angle of 66°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
3 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Cumulative Frequency2 marks
Four classes in order have frequencies 4, 7, 6, 10. Write down the cumulative frequency at the end of the third class.
5
Standard Form2 marks
Work out (3 x 10^3) x (2 x 10^4). Give your answer in standard form.

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