Daily Practice · Higher
March 1953 5-a-day
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The batch download puts all 5 tiers' March 1953 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 19531 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd March 1953A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd March 1953Work out (8 x 10^7) x (2 x 10^-3). Give your answer in standard form.
- 4th March 1953Expand and simplify (x + 1)(x - 5)(x + 2).
- 5th March 1953A town's population is 24500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 6th March 1953A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 7th March 195314 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th March 1953A box plot has a minimum of 8 and a maximum of 47. Work out the range.
- 9th March 1953Write the recurring decimal 0.2121... as a fraction in its simplest form.
- 10th March 1953Make x the subject of y = 9x^2 - 9.
- 11th March 1953A block has volume 15 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 12th March 1953In triangle ABC, angle A is 30°, angle B is 98° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th March 19533 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th March 1953A box plot has minimum 9, lower quartile 16, median 22, upper quartile 24 and maximum 28. Work out the interquartile range.
- 15th March 1953A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 16th March 1953Factorise x^2 - 4.
- 17th March 1953x : y = 3 : 8. Write y in terms of x.
- 18th March 1953A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 19th March 195315 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th March 1953A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 21st March 1953A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd March 1953A region is defined by y < x - 1. Should the boundary line be solid or dashed, and why?
- 23rd March 1953A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 24th March 1953The point (-3, 4) is enlarged by scale factor -2 about the centre (2, -4). Write down the coordinates of the image.
- 25th March 19536 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th March 1953A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 27th March 1953Work out (14 x 10^11) / (7 x 10^2). Give your answer in standard form.
- 28th March 1953Factorise x^2 - 6x - 16.
- 29th March 1953y is inversely proportional to x. When x = 9, y = 10. Work out y when x = 2.
- 30th March 1953Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 31st March 195316 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.