Daily Practice · Higher
March 1955 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1955 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1955x : y = 5 : 6. Write y in terms of x.
- 2nd March 1955In triangle ABC, angle A is 36°, angle B is 43° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd March 19551 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th March 1955A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 5th March 1955Write the recurring decimal 0.7373... as a fraction in its simplest form.
- 6th March 1955Factorise x^2 - 16.
- 7th March 1955A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 8th March 1955A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 9th March 195515 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th March 1955A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 11th March 1955A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 12th March 1955A region is defined by y <= -4x - 5. Should the boundary line be solid or dashed, and why?
- 13th March 1955y is inversely proportional to x. When x = 2, y = 5. Work out y when x = 5.
- 14th March 1955The point (1, -4) is enlarged by scale factor -2 about the centre (2, -1). Write down the coordinates of the image.
- 15th March 19551 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th March 1955Four classes in order have frequencies 7, 3, 7, 6. Write down the cumulative frequency at the end of the third class.
- 17th March 1955A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th March 1955Factorise x^2 + 8x - 9.
- 19th March 1955y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 6.
- 20th March 1955Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 448 cm^3. Work out the volume of the smaller.
- 21st March 195520 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd March 195510 newts are marked and released. Later 49 are caught, of which 7 are marked. Estimate the population.
- 23rd March 1955Work out (36 x 10^6) / (4 x 10^4). Give your answer in standard form.
- 24th March 1955Work out the equation of the line parallel to y = -x + 3 that passes through (3, 7).
- 25th March 1955y is directly proportional to x. When x = 6, y = 42. Work out y when x = 9.
- 26th March 1955A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 27th March 19553 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th March 1955A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th March 1955Write the recurring decimal 0.666... as a fraction in its simplest form.
- 30th March 1955A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 31st March 1955A town's population is 12500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.