Daily Practice · 13+ Common Entrance
July 1956 5-a-day
Every sheet in July 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1956A right-angled triangle has shorter sides of 5 cm and 12 cm. Work out the length of the hypotenuse.
- 2nd July 1956The nth term of a sequence is 4n + 3. Work out the 20th term.
- 3rd July 1956Work out 84 / 12.
- 4th July 1956A class recorded how many books each of 25 students read in a month: 5 students read 0-2 books, 12 students read 3-5 books, and 8 students read 6-8 books. Using midpoints 1, 4 and 7, estimate the mean number of books read.
- 5th July 1956Prove that the sum of any three consecutive integers is always a multiple of 3.
- 6th July 1956p = 5, q = -2. Work out the value of 3p + q.
- 7th July 1956A bag has 4 yellow and 6 purple counters. Find the probability of picking a purple counter.
- 8th July 1956A 750 gram box of cereal costs 2.40 pounds, and a 500 gram box of the same cereal costs 1.70 pounds. Which box offers better value for money? Show your working.
- 9th July 1956In pea plants, the allele for tall (T) is dominant over the allele for short (t). State the possible genotype(s) of a tall pea plant.
- 10th July 1956State two factors, other than using a catalyst, that increase the rate of a reaction between a solid and a solution.
- 11th July 1956State whether solar power is a renewable or a non-renewable energy resource.
- 12th July 1956A book rests on a table and does not move. Name the force from the table that balances the book's weight.
- 13th July 1956Name the two products of photosynthesis.
- 14th July 1956A pupil adds universal indicator to a solution and it turns red. State whether the solution is acidic, alkaline or neutral.
- 15th July 1956Which sentence uses a semicolon correctly? A) The whistle blew; and the players stopped. B) The whistle blew; the players stopped at once.
- 16th July 1956In an extract, a character 'set down his tools without a word and walked out into the rain.' What might this action suggest about his state of mind?
- 17th July 1956A writer describes a clock as "ticking its patient warning through the empty hall." Name the poetic technique used here.
- 18th July 1956Punctuate this exchange, adding inverted commas, capital letters and any other punctuation needed: are you sure about this asked Leo his sister nodded without looking up
- 19th July 1956Rewrite this sentence, replacing the vague capitalised word with a more precise alternative, keeping the meaning: The funfair was SCARY.
- 20th July 1956A speaker says 'Ninety per cent of our debate club members say it changed how they see arguments.' Name the technique used here.
- 21st July 1956A charity advert says: 'You could change a child's life today.' Which word directly addresses the reader, and what effect does this have?
- 22nd July 1956Order these integers from smallest to largest: -6, 2, -3, 0, -9
- 23rd July 1956Solve x^2 + 3x - 10 = 0.
- 24th July 1956A triangle has base 10 cm and height 7 cm. Work out its area.
- 25th July 1956p is inversely proportional to q^2. When q = 2, p = 18. Work out p when q = 3.
- 26th July 1956The nth term of a sequence is 6n - 4. Work out the 12th term.
- 27th July 1956A car journey of 156 miles takes 2.4 hours. Work out the average speed, to the nearest mile per hour.
- 28th July 1956A rectangle has a perimeter of 38 cm and a width of 6.5 cm. Work out its length.
- 29th July 1956Find the area of a triangle with base 12 cm and height 7 cm.
- 30th July 1956A box contains 7 yellow pencils, 5 blue pencils and 3 green pencils. A pencil is picked at random. Find the probability that it is not blue.
- 31st July 1956State one structure found in a plant cell but not in an animal cell.