Daily Practice · Higher
January 1960 5-a-day
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The batch download puts all 5 tiers' January 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1960A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 2nd January 1960A mass is 620 kg, correct to the nearest 10. Write down the lower bound.
- 3rd January 1960Expand and simplify (x + 2)(x - 2)(x + 5).
- 4th January 1960A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 5th January 1960A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 6th January 196012 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th January 1960A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 8th January 1960Write 3^-1 as a fraction.
- 9th January 1960Make x the subject of y = 2x^2 - 4.
- 10th January 1960y is inversely proportional to x. When x = 2, y = 30. Work out y when x = 10.
- 11th January 1960In triangle ABC, angle A is 45°, angle B is 70° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th January 19603 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 1960Four classes in order have frequencies 7, 12, 12, 5. Write down the cumulative frequency at the end of the third class.
- 14th January 1960Work out (6 x 10^6) x (3 x 10^4). Give your answer in standard form.
- 15th January 1960Factorise x^2 - 49.
- 16th January 1960y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 8.
- 17th January 1960A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 18th January 196015 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 196045 fish are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 20th January 1960Write the recurring decimal 0.6868... as a fraction in its simplest form.
- 21st January 1960A region is defined by y <= x + 2. Should the boundary line be solid or dashed, and why?
- 22nd January 1960y is directly proportional to x. When x = 7, y = 63. Work out y when x = 12.
- 23rd January 1960The point (4, -6) is enlarged by scale factor -1 about the centre (3, -2). Write down the coordinates of the image.
- 24th January 19603 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 1960A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th January 1960A bill is £960 including VAT at 20%. Work out the amount before VAT.
- 27th January 1960Factorise x^2 - 7x + 6.
- 28th January 1960A town's population is 12500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 29th January 1960Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 972 cm^3. Work out the volume of the smaller.
- 30th January 196023 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 1960A box plot has a minimum of 20 and a maximum of 65. Work out the range.