Daily Practice · Higher
April 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1959 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1959Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 2nd April 1959Factorise x^2 - 64.
- 3rd April 1959y is directly proportional to x. When x = 7, y = 21. Work out y when x = 3.
- 4th April 1959A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 5th April 195913 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th April 1959A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th April 1959A meal deal has 4 mains, 8 sides and 6 drinks. How many different meals are possible?
- 8th April 1959A region is defined by y < -2x - 7. Should the boundary line be solid or dashed, and why?
- 9th April 1959A town's population is 26500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 10th April 1959The point (-3, 1) is enlarged by scale factor -2 about the centre (-1, -1). Write down the coordinates of the image.
- 11th April 19594 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th April 1959A box plot has a minimum of 11 and a maximum of 68. Work out the range.
- 13th April 1959A mass is 43 kg, correct to the nearest whole number. Write down the lower bound.
- 14th April 1959Factorise x^2 + 7x + 6.
- 15th April 1959A block has volume 70 cm^3 and density 4 g/cm^3. Work out its mass.
- 16th April 1959Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 176 cm^3. Work out the volume of the smaller.
- 17th April 195932 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th April 1959A box plot has minimum 1, lower quartile 11, median 19, upper quartile 28 and maximum 36. Work out the interquartile range.
- 19th April 1959Write 4^-1 as a fraction.
- 20th April 1959Work out the equation of the line parallel to y = -4x - 4 that passes through (4, -10).
- 21st April 1959x : y = 3 : 5. Write y in terms of x.
- 22nd April 1959A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 23rd April 19595 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th April 1959A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 25th April 1959Work out (7 x 10^3) x (3 x 10^-6). Give your answer in standard form.
- 26th April 1959A line has equation y = 2x + 8. Work out the gradient of any line perpendicular to it.
- 27th April 1959A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 28th April 1959ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 29th April 195927 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th April 1959A histogram class is 20 units wide and contains 30 values. Work out the frequency density.