Daily Practice · Higher
February 1954 5-a-day
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The batch download puts all 5 tiers' February 1954 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1954A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd February 1954Write the recurring decimal 0.4646... as a fraction in its simplest form.
- 3rd February 1954Expand and simplify (x - 1)(x - 5)(x + 2).
- 4th February 1954A town's population is 14500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 5th February 1954A cone has base radius 8 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 6th February 195423 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 February 1954A box plot has a minimum of 9 and a maximum of 54. Work out the range.
- 8th February 1954A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 9th February 1954Make x the subject of y = 8x^2 - 5.
- 10th February 1954A block has volume 115 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 11th February 1954In triangle ABC, angle A is 68°, angle B is 40° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th February 19542 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th February 1954A box plot has minimum 8, lower quartile 13, median 19, upper quartile 23 and maximum 32. Work out the interquartile range.
- 14th February 1954A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th February 1954Factorise x^2 - 81.
- 16th February 1954x : y = 4 : 7. Write y in terms of x.
- 17th February 1954A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 18th February 195422 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th February 1954A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 20th February 1954Work out (6 x 10^6) / (3 x 10^2). Give your answer in standard form.
- 21st February 1954A region is defined by y < 5x - 4. Should the boundary line be solid or dashed, and why?
- 22nd February 1954A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 23rd February 1954The point (-4, -3) is enlarged by scale factor -2 about the centre (-4, -1). Write down the coordinates of the image.
- 24th February 19541 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th February 1954A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 26th February 1954Write the recurring decimal 0.444... as a fraction in its simplest form.
- 27th February 1954Factorise x^2 + 15x + 56.
- 28th February 1954y is inversely proportional to x. When x = 5, y = 2. Work out y when x = 2.