Daily Practice · 13+ Common Entrance
December 1957 5-a-day
Every sheet in December 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1957A question is worth 5 marks and asks you to explain how a writer builds a sense of danger across a paragraph. Roughly how many separate, developed points should your answer include?
- 2nd December 1957Simplify 5x + 3y - 2x + 7y.
- 3rd December 1957Work out 40% of 65.
- 4th December 1957A jacket costs 65 pounds. Work out the cost after a 20% discount.
- 5th December 1957p is inversely proportional to q. When q = 8, p = 9. Work out p when q = 6.
- 6th December 1957Write 0.35 as a fraction in its simplest form.
- 7th December 1957Work out 5/6 of 90.
- 8th December 1957At a small maths club meeting, every one of the 8 members shakes hands with every other member exactly once. Work out the total number of handshakes.
- 9th December 1957A rectangle has length 9.2 cm and width 6.8 cm. Calculate its perimeter.
- 10th December 1957Find the nth term of the sequence 2, 5, 8, 11, ...
- 11th December 1957A food sample turns from blue to brick-red when Benedict's solution is added and the mixture is heated. State which nutrient this positive result shows is present.
- 12th December 1957State the method used to extract aluminium from its ore, and explain why this method is needed rather than reduction with carbon.
- 13th December 1957A results table has columns for 'Time (s)' and 'Temperature (degrees C)'. State which of these two variables would normally be plotted on the x-axis of a line graph.
- 14th December 1957State which planet in the Solar System is closest to the Sun.
- 15th December 1957A pupil measures the volume of a gas produced in a reaction every 30 seconds. State whether the volume of gas is the independent or the dependent variable.
- 16th December 1957A student reads the volume of liquid in a measuring cylinder. The bottom of the meniscus lines up exactly halfway between the 22 cm^3 and 24 cm^3 graduation marks. State the volume of liquid.
- 17th December 1957A non-fiction text about volcanoes uses the heading "How an Eruption Happens." What is the purpose of this heading?
- 18th December 1957What is the name for a poem written in three-line stanzas?
- 19th December 1957A poem has four-line stanzas with an ABAB rhyme scheme throughout. What effect might this regular structure have on the reader?
- 20th December 1957Insert a colon in the correct place: The kit list included the following items a torch, a compass and a whistle.
- 21st December 1957Correct the subject-verb agreement error: The team of swimmers were training every morning.
- 22nd December 1957A poem compares the fox's eyes to 'two small, cold coins.' Name this technique.
- 23rd December 1957A biography states that a person 'left school at fourteen to support her family, and by twenty-one had opened her own shop.' What can a reader infer about this person's character from these facts?
- 24th December 1957A line has equation y = 4x - 7. Write down its gradient and its y-intercept.
- 25th December 1957A survey asked 20 people how many pets they own: 5 people own 0 pets, 8 own 1 pet, 4 own 2 pets, and 3 own 3 pets. Work out the mean number of pets owned.
- 26th December 1957Write 3/5 as a decimal.
- 27th December 1957A recipe for 8 people uses flour, sugar and butter in the ratio 4 : 3 : 1 by weight, totalling 800 g. Work out how many grams of sugar are needed to make the recipe for 12 people.
- 28th December 1957A circle has a radius of 10 cm. Work out the area of a sector with an angle of 72 degrees at the centre, giving your answer to 3 significant figures. (Use pi = 3.14159.)
- 29th December 1957Expand and simplify (x + 5)(x - 3).
- 30th December 1957Simplify sqrt(75) - sqrt(12), giving your answer in the form k sqrt(3).
- 31st December 1957Work out 9.6 divided by 0.4.