Daily Practice · Higher
May 1956 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1956 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1956A cone has base radius 6 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd May 195626 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd May 1956A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 4th May 1956Work out 36^(3/2).
- 5th May 1956Make x the subject of y = 5x^2 - 6.
- 6th May 1956y is inversely proportional to x. When x = 5, y = 40. Work out y when x = 10.
- 7th May 1956In triangle ABC, angle A is 47°, angle B is 62° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th May 19561 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th May 1956Four classes in order have frequencies 9, 3, 7, 3. Write down the cumulative frequency at the end of the third class.
- 10th May 1956Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 11th May 1956Factorise x^2 - 144.
- 12th May 1956y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 2.
- 13th May 1956A 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.
- 14th May 195611 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th May 195660 voles are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
- 16th May 1956A meal deal has 9 mains, 7 sides and 5 drinks. How many different meals are possible?
- 17th May 1956A region is defined by y <= 5x + 4. Should the boundary line be solid or dashed, and why?
- 18th May 1956y is directly proportional to x. When x = 4, y = 36. Work out y when x = 6.
- 19th May 1956The point (4, -4) is enlarged by scale factor -3 about the centre (3, 2). Write down the coordinates of the image.
- 20th May 19565 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st May 1956A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd May 1956A mass is 250 kg, correct to the nearest 10. Write down the lower bound.
- 23rd May 1956Factorise x^2 - 6x - 7.
- 24th May 1956A town's population is 9500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 25th May 1956Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 256 cm^3. Work out the volume of the smaller.
- 26th May 195614 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th May 1956A box plot has a minimum of 8 and a maximum of 43. Work out the range.
- 28th May 1956Write 2^-3 as a fraction.
- 29th May 1956Work out the equation of the line parallel to y = -2x + 3 that passes through (3, 3).
- 30th May 1956A block has volume 120 cm^3 and density 11 g/cm^3. Work out its mass.
- 31st May 1956A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.