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Daily Practice · 11+ Entrance

July 1957 5-a-day

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July 1957

31 sheets · 155 questions · Years 5-6

July 1957 compilationAll answers

Every sheet in July 1957

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st July 1957Put these events in order from least likely to most likely: (a) rolling an even number on a fair dice, (b) picking the ace of spades from a full deck of 52 cards, (c) the sun rising tomorrow.
  2. 2nd July 1957Using the formula C = 4 + 2m from the previous question, work out the cost of a 6-mile taxi journey.
  3. 3rd July 1957The mean of four numbers is 9. Three of the numbers are 6, 8 and 11. Find the fourth number.
  4. 4th July 1957A distance-time graph shows a cyclist travels 24km in 2 hours at a steady speed. How far do they travel in 5 hours at the same speed?
  5. 5th July 1957A recipe for 4 people uses 200g of rice. How much rice is needed for 9 people?
  6. 6th July 1957In a class of 28 pupils, 16 play netball, 12 play hockey, and 5 play both sports. How many pupils play neither sport?
  7. 7th July 1957Calculate: 546 divided by 6.
  8. 8th July 1957Look at this group of numbers: 16, 25, 36, 44, 49. Which number does not belong?
  9. 9th July 1957In the number 58,204, what is the value of the digit 8?
  10. 10th July 1957A class of 32 pupils is split into 4 equal teams. Each team then loses 2 pupils to another activity. How many pupils remain in each team?
  11. 11th July 1957A function machine takes an input, multiplies it by 4, then adds 3, to give an output of 27. What was the input?
  12. 12th July 1957A parking meter charges 60p for every 15 minutes. How much does 1 hour of parking cost?
  13. 13th July 1957A bottle holds 3/8 of a litre of oil. Write this amount as a decimal.
  14. 14th July 1957Work out 0.36 divided by 6.
  15. 15th July 1957What is 8 x 9?
  16. 16th July 1957A quantity is decreased by 20%, then decreased again by 25%. Find the single decimal multiplier equivalent to both changes combined.
  17. 17th July 1957A pack of 6 apples costs 1 pound 80. What is the cost per apple?
  18. 18th July 1957A number is multiplied by 4, then 7 is subtracted, giving 21. What was the original number?
  19. 19th July 1957Paint is mixed in the ratio blue:white = 2:7. If 18 litres of blue paint are used, how many litres of white paint are needed?
  20. 20th July 1957Convert 3/8 to a decimal.
  21. 21st July 19576 identical notebooks cost 6.90 pounds. Calculate the cost of 10 of these notebooks.
  22. 22nd July 1957A youth orchestra has string and wind players in the ratio 5:3. There are 24 wind players. How many string players are there?
  23. 23rd July 1957A journey starts at 10:45 and takes 1 hour 50 minutes. What time does it finish?
  24. 24th July 1957A car park has 4 rows with 15 spaces each. If 38 spaces are full, how many are empty?
  25. 25th July 1957Find the next term: 7, 12, 17, 22, ...
  26. 26th July 1957Buses leave a stop every 25 minutes starting at 06:00. Amir arrives at the stop at 07:48, just missing a bus. How many minutes must he wait for the next bus?
  27. 27th July 1957Write the probability 0.2 as a fraction in its simplest form.
  28. 28th July 1957Find the value of 0.3 x 10 x 10.
  29. 29th July 1957A square sheet of paper is folded in half vertically, left onto right. A hole is punched exactly on the crease line, 2cm from the bottom edge. How many separate holes appear once the paper is unfolded, and why?
  30. 30th July 1957Figure 1: pentagon (5 sides) with 1 dot, unshaded. Figure 2: heptagon (7 sides) with 2 dots, unshaded. Figure 3: nonagon (9 sides) with 3 dots, unshaded. Which follows the same rule: an undecagon (11 sides) with 4 dots, unshaded, or a decagon (10 sides) with 4 dots, unshaded?
  31. 31st July 1957Work out 9 squared minus 40.