Daily Practice · Higher
January 1967 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1967 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1967Work out 125^(2/3).
- 2nd January 1967Factorise x^2 - 36.
- 3rd January 1967x : y = 3 : 4. Write y in terms of x.
- 4th January 1967A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 5th January 196719 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th January 1967A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 7th January 1967Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 8th January 1967A region is defined by y <= -x - 5. Should the boundary line be solid or dashed, and why?
- 9th January 1967A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 10th January 1967The point (3, -4) is enlarged by scale factor -2 about the centre (-2, 0). Write down the coordinates of the image.
- 11th January 19672 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th January 1967A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 13th January 1967A meal deal has 9 mains, 8 sides and 4 drinks. How many different meals are possible?
- 14th January 1967Factorise x^2 - 6x - 27.
- 15th January 1967y is inversely proportional to x. When x = 7, y = 6. Work out y when x = 2.
- 16th January 1967Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 17th January 196722 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th January 1967Four classes in order have frequencies 12, 3, 10, 11. Write down the cumulative frequency at the end of the third class.
- 19th January 1967A mass is 690 kg, correct to the nearest 10. Write down the lower bound.
- 20th January 1967Work out the equation of the line parallel to y = -2x - 2 that passes through (1, -13).
- 21st January 1967y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 5.
- 22nd January 1967A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 23rd January 19674 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th January 196740 fish are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.
- 25th January 1967Write 4^-2 as a fraction.
- 26th January 1967A line has equation y = 3x + 6. Work out the gradient of any line perpendicular to it.
- 27th January 1967y is directly proportional to x. When x = 9, y = 18. Work out y when x = 11.
- 28th January 1967ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 29th January 196715 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th January 1967A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st January 1967Work out (5 x 10^4) x (5 x 10^-4). Give your answer in standard form.