Daily Practice · 13+ Common Entrance
March 1978 5-a-day
Every sheet in March 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1978A 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.
- 2nd March 1978Prove that the sum of any three consecutive integers is always a multiple of 3.
- 3rd March 1978Here are the first four terms of a sequence: 7, 11, 15, 19. Find an expression for the nth term.
- 4th March 1978Find the mean of 14, 18, 22, 16 and 20.
- 5th March 1978A meal out costs 68 pounds before a 12.5% service charge is added. Calculate the total cost including the service charge.
- 6th March 1978In 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.
- 7th March 1978State two factors, other than using a catalyst, that increase the rate of a reaction between a solid and a solution.
- 8th March 1978A skateboarder travels at a constant speed of 4 m/s for 6 seconds. Use acceleration = change in velocity / time taken to state his acceleration during this time, and explain what an acceleration of zero means about his motion.
- 9th March 1978A hand warmer gets hot when a chemical reaction inside it takes place. State whether this reaction is exothermic or endothermic.
- 10th March 1978Name the two products of photosynthesis.
- 11th March 1978A pupil adds universal indicator to a solution and it turns red. State whether the solution is acidic, alkaline or neutral.
- 12th March 1978In the sentence "The exhausted runner collapsed across the finish line," what word class is "exhausted"?
- 13th March 1978A question asks you to 'find and copy one word which shows that the workshop was untidy.' What kind of question is this, and how should you answer it?
- 14th March 1978A question is worth 5 marks and asks you to explain how a writer builds atmosphere across a paragraph. Roughly how many separate, developed points should your answer include?
- 15th March 1978Which of these would best speed up the pace of an action scene: a long sentence with several clauses, or a short, three-word sentence?
- 16th March 1978Write an expanded noun phrase, using at least two describing words, for 'the funfair at midnight.'
- 17th March 1978Is the claim 'debating is clearly the single best way to build confidence' a fact or an opinion?
- 18th March 1978Is the claim 'this is the most dangerous road crossing in the whole town' a fact or an opinion? Explain your answer.
- 19th March 1978Work out (-5) + (-8) - (-6).
- 20th March 1978Solve x^2 + 3x - 10 = 0.
- 21st March 1978Find 3/8 of 64.
- 22nd March 1978Write 0.000078 in standard form.
- 23rd March 1978A cylindrical bucket has radius 12 cm and height 25 cm. Work out its volume, to 3 significant figures. (Use pi = 3.14159.)
- 24th March 1978Work out sqrt(169) + 4^2.
- 25th March 1978Increase 240 pounds by 12%.
- 26th March 1978Work out 312 divided by 8, using a written method.
- 27th March 1978The list shows the number of pets owned by 9 pupils: 0, 1, 1, 2, 3, 1, 2, 0, 1. Write down the mode.
- 28th March 1978During vigorous exercise, a sprinter's muscles cannot get enough oxygen. Name the substance that builds up in the muscles as a result, and state one effect this has.
- 29th March 1978The density of olive oil is 0.92 g/cm^3. State, with a reason, whether olive oil would float or sink in water (density 1.0 g/cm^3).
- 30th March 1978A parcel of mass 2.5 kg is lifted onto a shelf 2 m above the ground. Take g = 10 N/kg and use GPE = mass x g x height. Calculate the gain in gravitational potential energy.
- 31st March 1978A cyclist travels 300 m in 25 s. Calculate her average speed.