Write down the value of the digit 7 in the number 47 208.
(1)
2
Write these numbers in order, starting with the smallest. 4507 4075 4750 4570
(1)
3
A warehouse had 3482 boxes of tiles. During one week it sold 1695 boxes. Work out how many boxes of tiles were left. You may get a mark for using a correct method even if your answer is incorrect.
(2)
4
Work out 34.6 x 100.
(1)
5
There are 360 sweets in a jar. 5/9 of the sweets are red. Work out how many sweets are red. You may get a mark for using a correct method even if your answer is incorrect.
(2)
6
At 6am the temperature in Leeds was -8 degrees C. By 2pm it had risen to 5 degrees C. Work out how many degrees the temperature rose.
(1)
7
A coach leaves Sheffield at 09:47 and arrives in York at 11:15. Work out how long the journey took. Give your answer in hours and minutes. You may get a mark for using a correct method even if your answer is incorrect.
(2)
8
Three angles sit on a straight line and together make a half-turn. Two of the angles measure 55 degrees and 90 degrees. Work out the size of the third angle, marked x. You may get a mark for using a correct method even if your answer is incorrect.
Figure (to be drawn): A straight line with three angles marked at a single point on it: one angle labelled 55 degrees, one labelled 90 degrees, and the third labelled x degrees.
(2)
9
A rectangular tabletop measures 1.2 m by 65 cm. Work out the perimeter of the tabletop in centimetres. You may get a mark for using a correct method even if your answer is incorrect.
(2)
10
A school has 320 pupils. 35% of the pupils walk to school. Work out how many pupils do not walk to school. You may get marks for using a correct method even if your answer is incorrect.
(3)
11
A recipe for flapjack uses flour and sugar in the ratio 5 : 2. A batch uses 250 g of sugar. Work out how much flour the batch uses. You may get a mark for using a correct method even if your answer is incorrect.
(2)
12
Kofi thinks of a number, multiplies it by 4, then adds 7. His answer is 39. Find the number Kofi started with. You may get a mark for using a correct method even if your answer is incorrect.
(2)
13
The table shows the number of books borrowed from a school library on each day of one week: Monday 34 Tuesday 28 Wednesday 45 Thursday 39 Friday 52
(a)How many books were borrowed altogether that week?(1)
(b)What is the difference between the number of books borrowed on the busiest day and the quietest day?(1)
14
Amina buys a book for 7.65 pounds and a pen for 2.80 pounds. She pays with a 20 pound note. Work out how much change she should get. You may get a mark for using a correct method even if your answer is incorrect.
(2)
15
A school books 3 coaches for a trip. Each coach seats 48 passengers and costs 215 pounds to hire. 132 pupils and 9 adults travel on the trip.
(a)How many empty seats are there in total across the 3 coaches?(1)
(b)What is the total cost of hiring the 3 coaches? You may get a mark for using a correct method even if your answer is incorrect.(2)
16
Work out 236 x 24. Show your method in the box below. You may get a mark for using a correct method even if your answer is incorrect.
(2)
17
Work out 1472 / 16. Show your method in the box below. You may get a mark for using a correct method even if your answer is incorrect.
(2)
18
Work out 3/4 + 5/8. Give your answer as a mixed number in its simplest form. You may get a mark for using a correct method even if your answer is incorrect.
(2)
19
Triangle ABC is isosceles. Its two base angles, at B and C, are equal and each measure 52 degrees. Work out the size of angle A. You may get a mark for using a correct method even if your answer is incorrect.
Figure (to be drawn): Triangle ABC with the base angles at B and C each labelled 52 degrees; angle A at the apex is unmarked.
(2)
20
A rectangular garden measures 9 m by 6 m. A rectangular pond measuring 3 m by 2 m is dug in one corner of the garden, so it is no longer available for planting. Work out the area of the garden that is left for planting. You may get marks for using a correct method even if your answer is incorrect.
Figure (to be drawn): An L-shaped garden formed from a 9 m by 6 m rectangle with a smaller 3 m by 2 m rectangular pond removed from one corner.
(3)
21
A recipe for 8 people uses 600 g of flour. Priya wants to make the recipe for 20 people, keeping the same ratio of ingredients. Work out how much flour she will need. Give your answer in kilograms. You may get marks for using a correct method even if your answer is incorrect.
(3)
22
A cinema sells adult tickets for 8.50 pounds and child tickets for 5.25 pounds. On Saturday, 145 adult tickets and 210 child tickets were sold. On Sunday, total ticket sales were 313.75 pounds less than on Saturday. Work out how much money was taken in ticket sales on Sunday. You may get marks for using a correct method even if your answer is incorrect.
(4)
Mark scheme · SATS.KS2-M4 KS2 SATs-Style Maths Paper (Reasoning 4)
Question 1
B1 7000 cao
Answer: 7000
Question 2
B1 4075, 4507, 4570, 4750 in this order cao
Answer: 4075, 4507, 4570, 4750
Question 3
M1 correct method shown, e.g. 3482 - 1695 set out in columns oe
A1 1787 cao
Answer: 1787
Question 4
B1 3460 cao
Answer: 3460
Question 5
M1 360 / 9 = 40 (finding one ninth) oe
A1 200 cao
Answer: 200
Question 6
B1 13 (degrees C) cao
Answer: 13 degrees C
Question 7
M1 correct method, e.g. 09:47 to 10:47 is 1 hour, then 10:47 to 11:15 is 28 minutes oe
A1 1 hour 28 minutes cao
Answer: 1 hour 28 minutes
Question 8
M1 180 - 55 - 90 oe
A1 x = 35 (degrees) cao
Answer: 35 degrees
Question 9
M1 1.2 m converted to 120 cm, then 2 x (120 + 65) oe
A1 370 cm cao
Answer: 370 cm
Question 10
M1 10% of 320 = 32 (or 1% = 3.2) oe
M1 35% of 320 = 112 oe
A1 208 cao
Answer: 208
Question 11
M1 250 / 2 = 125 (finding the value of one part) oe
A1 625 g cao
Answer: 625 g
Question 12
M1 39 - 7 = 32 oe
A1 8 cao
Answer: 8
Question 13
(a) B1 198 cao
(a) Answer: 198
(b) B1 24 cao, ft from candidate's identified busiest (52) and quietest (28) days
(b) Answer: 24
Question 14
M1 7.65 + 2.80 = 10.45 oe
A1 9.55 pounds cao
Answer: 9.55 pounds
Question 15
(a) B1 3 cao
(a) Answer: 3
(b) M1 3 x 215 oe
(b) A1 645 pounds cao
(b) Answer: 645 pounds
Question 16
M1 correct method shown, e.g. long multiplication or 236 x 20 + 236 x 4 oe
A1 5664 cao
Answer: 5664
Question 17
M1 correct method shown, e.g. short/long division oe
A1 92 cao
Answer: 92
Question 18
M1 3/4 converted to 6/8 (common denominator of 8) oe
A1 1 3/8 cao
Answer: 1 3/8
Question 19
M1 180 - 52 - 52 oe
A1 76 degrees cao
Answer: 76 degrees
Question 20
M1 area of whole garden = 9 x 6 = 54 (square metres) oe