Daily Practice · Higher
February 1956 5-a-day
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The batch download puts all 5 tiers' February 1956 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1956In triangle ABC, angle A is 34°, angle B is 62° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd February 19561 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd February 1956A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 4th February 1956A bill is £312 including VAT at 20%. Work out the amount before VAT.
- 5th February 1956Factorise x^2 - 121.
- 6th February 1956A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 7th February 1956A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 8th February 195613 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th February 1956A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 10th February 1956A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 11th February 1956A region is defined by y <= -x + 3. Should the boundary line be solid or dashed, and why?
- 12th February 1956y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 6.
- 13th February 1956The point (4, -4) is enlarged by scale factor -1 about the centre (0, 1). Write down the coordinates of the image.
- 14th February 19562 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th February 1956Four classes in order have frequencies 4, 11, 3, 3. Write down the cumulative frequency at the end of the third class.
- 16th February 1956Work out (48 x 10^10) / (6 x 10^2). Give your answer in standard form.
- 17th February 1956Factorise x^2 - 3x + 2.
- 18th February 1956y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 3.
- 19th February 1956Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2048 cm^3. Work out the volume of the smaller.
- 20th February 195625 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st February 195660 beetles are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 22nd February 1956Write the recurring decimal 0.777... as a fraction in its simplest form.
- 23rd February 1956Work out the equation of the line parallel to y = 4x + 5 that passes through (3, 5).
- 24th February 1956y is directly proportional to x. When x = 3, y = 36. Work out y when x = 4.
- 25th February 1956A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 26th February 19565 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th February 1956A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th February 1956Work out 36^(3/2).
- 29th February 1956A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.