SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 - 6

Test 1

1.   Round £11.52p to the nearest pound?	£12
2.   What is the highest number you can write using the digits  1   8  7   2 ?
3.   What is 9  of  600?		60 div 10 = 6  and  6  x  9  =  54
                  10
4.   8 ping pong balls are packed in a tube.  How many tubes can be filled
      from 125 ping pong balls?      125  div  8   =  15  rem 5
5.   How many grams are there in twelve kilograms?

6.   A shelf holds 15 videos. How many videos can 15 shelves hold?  
      (10  x  15)  +  (5  x  15)   =  150  +  75  =  150  +  50  +  25  = 225
7.   What is the sum of 10 squared plus 7 squared?		100 +  49  =  149
8.   Subtract one point nine from two point seven.  2.7  -  1.9  =  0.8
9.   What is one-half added to one-eighth?	1/2   +  1/8   =  5/8
10.  If 2x  +  y  =  9, and y  =  1,  what is the value of x?     2x = 9 – 1 = 8

11.  Calculate the perimeter of a rectangle which is eleven metres long
       and four metres wide.
12.  How many forties are there in eight hundred?   20
13.  Change 19/5 into a mixed number.		3 4
							   5
14.  What is the next prime number in the sequence  1 – 3 – 5 – 7- ?    11
15.  If two angles of a triangle add up to 90 degrees, what is the size of the third 
      angle?

16.  True or False:  any number multiplied by an odd number gives an even number?   										3  x  1  =  3  F
17.  During the night the temperature falls by 10 degrees from 5C.
      What is the temperature in the morning?		-5C
18.  There are 9 girls to every 4 boys at the swimming pool.
       There are 16 boys at the pool.  How many girls are there?   36
19.  What is the angle between the hands of a clock when it is three o’clock?
20.  What is the sum of ½ plus a ¼ expressed as a decimal?  0.75

SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 to 6

Test 2

1.   How many hours are there in two days?	  	2  x  24   =  48 hours
2.   Subtract thirty two from seventy.			38
3.   What is thirty multiplied by seven.			7  x  3  =  21  x  10  =  210
4.   When one factor of 6 is 3, what is the other factor?	3  x  2  =  6
5.   What is two thirds of sixty six?			66  div  3 =  22  x  2  =  44

6.   Add together twenty three and thirty three and forty three.  23 + 33  +  43  =  99
7.   In a right-angled triangle, if one angle is 60 degrees, 
     what size is the smallest angle?				180  -  (90 + 60)  =  30
8.   If x + 2 = 4, what is the value of x?		x =  4 – 2  =  2
9.   A fruit pie costs fifty five pence.  How much do four fruit pies cost?   £2.20p
10. Five times a number if 200.  What is the number?   5x  =  200  so  x  =  40

11. What is one half of a half?		½ x ½  =  ¼ 
12. How many metres are there in four and half kilometres?		4,500
13. What temperature is 10 degrees lower than s6 degrees    Celsius?  6  -  10  =  -4
14. What is one point three multiplied by four?   	1.3  x  4   =  5.2
15. What is seven point five divided by one hundred?	7.5  div  100  =  0.075

16. How many seconds are there in 10 hours?		10  x  60  x  60  =  36000
17. What is six times six taken away from seven times six?	6
18. A rectangle measures eleven centimetres by twenty centimetres.  
      What is its area?	11  x  20  =  220 cm squared
19. If two times b is 4, what is 3 times b plus 1?	2b = 4  b  =  2   6  +  1  =  7
20. The width of the playground is 20 yards. The length of the playground is 30 yards.
      What is the perimeter of the playground?  20 + 20 + 30 + 30  =  100 yards

SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 to 6

Test 3

1.    What is the first prime number after 14?		15	16	17
2.    Subtract twenty-one from one hundred.	79
3.    Change 8 ½ to an improper fraction.	17
							 2
4.    What is seven-tenths as a percentage?		70%
5.    The mean weight of the 10 apples in a bag is 150g.
       What is the total weight of the apples in kilograms?
       10  x  150  =  1500g     1500  div  1000  =  1.5 km

6.    What is the area of a square whose perimeter is 40 metres?
       10  x  10  =  100 square metres
7.    How many centimetres are there in half a metre?   50
8.    What is the remainder when twenty-seven is divided by five?
9.    What is the square root of 9 plus the square root of 4?     3  +  2  =  5
10.  Add together 0.2 , 0.4 and 0.6.		1.2

11.  A packet of crisps costs thirty-two pence. Josh buys three 
       packets. How much change does he get from one pound?	4p
12.  Two angles in the triangle add up to one hundred degrees.
       What is the size of the third angle?		80
13.  Six times a number is three thousand. What’s the number?   6x = 3000  x = 500
14.  How many millilitres are there in one and a quarter litres?	1250
15.  What name is given to an angle more than 90 degrees
      but less than 180 degrees?	obtuse
16.   Add together twenty-three and forty-eight.	71
17.   What are the chances of choosing at random a diamond card
       from a standard pack of 52 cards  (no Jokers)?   13 in 52   or  1 in 4
18.   Sam scored 38 out of 50. Express this as a percentage?      76%
19.   Write two factors of twenty-four which add to make eleven.    3  x  8  =  24
20.   In the last 100 days it has rained on 12 of them.  
       If one day was picked at random what is the probability that it rained that day?
       12/100    or   6/50   or  3/25

SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 to 6

Test 4

1.    What is one hundred and twenty two add eighty?       120 + 80 + 22 = 222
2.    What name is given to an angle less than 90 degrees?		acute
3.    When rolling a die, what’s the probability of rolling an even number?   1 in 2
4.    What is 0.4 multiplied by 0.4?		0.16
5.    Which imperial unit of measurement would you use to measure
       a cricket pitch?		yards

6.    Express  ¾ as a percentage.    ¾  x  100  =  75%   
7.    What is ½ of ½ of a ½?    1/8th 		
8.    I had one pound.  I bought two cartons of drink and got thirty   
       pence change. How much did each carton of drink cost?   70 div 2 = 35p
9.    How many £12 tickets can be bought with £187?    187 div 12 = 15 rem 7
10.  A can of coca cola holds about ½ pint, 2 pints, or 12 pints?	½ pint

11.  If 2x + 5 = 4, what does x =   ?	 - ½   (minus a half)
12.  True of False:  5 hours is less than 20,000 seconds?    5 x 60 x 60  =  18,000
13.  A rectangle measures twelve centimetres by four centimetres.
       What is its area?   48 square cm
14.  What fraction of two pounds is twenty pence?    20  =   1
                                                                                 200      10
15.  What’s the area of a right-angled triangle if the sides that form
      the right angle are 4 and 5 centimetres long?    4 x 5 = area of rectangle
							       ½  =  10 square cm

16.  Add together eight and seven, then multiply the result by four.  15  x  4  =  60
17.  What is the angle between the hands of a clock when it is nine o’clock?  90dgs
18.  I think of a number, subtract ten and double the result.
       The answer is forty-four. What is my number?   x  is  2(x – 10) = 44   32
19.  One book costs one pound ninety-ﬁve pence.
       How much do six books cost?   £12  -  30p   = £11.70p
20.  In a group of forty-ﬁve children, there are twice as many boys    
       as girls. How many girls are there?
	x + 2x = 45    3x = 45   x  =  15    15 girls

SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 to 6

Test 5

1.   Write in figures the number ten thousand and ten.		10,010
2.   Waling at 4 mph, how long does it take me to walk 18 miles?     4 hrs 30 mins
3.   Multiply ninety-one by two.   182   (Write the operation down!)
4.   x squared over 3 equals 3.  What’s the value of x?      x = 3
5.   I have three blue pens, one red pen and four black pens.
      What’s the probability that I’ll pick a black pen at random?   4 in 8  =  1 in 2

6.   What name is given to an angle more than 180 degrees?    reflex
7.   What is the next odd number after nine hundred and ninety-nine?  1001
8.   Take away ninety-ﬁve from one hundred and ten.
9.   What is 30% of £50      30  x  50  =  15
                                          100
10. The perimeter of a square is one metre.
      How many centimetres long is each side?   4x  =  100cm   x  =  25cm

11.  How many fifties are there in five hundred?   10
12.  Imagine a square-based pyramid. How many vertices does it have?   5  (corners)
13.  Two metres of wire cost ninety pence.
       How much will three metres of wire cost?  90p div 2 = 45  so  3  x  45  = 135p
14.  How many grams are there in two point seven kilograms?  2.7  x  1000 = 2700
15.  What is the range for these marks scored by 10 pupils?
       9   8   6   7   2   5   2   2   7   9   4	      9  -  2   =   7
										
16.  Add together nine, nineteen and twenty-nine.     (10 + 20 + 30) – 3  =  57
17.  Oranges cost ﬁfteen pence each. I buy four oranges.
       How much change do I get from a two pound coin?	£2.00 – 60p = £1.40p
18.  What is six multiplied by twenty divided by four?   6 x 20 = 120 div 4 = 30
19.  When a number is divided by seven, the answer is three 
       remainder four. What is the number?   x = 3 rem 4   so, x = 21 + 4  =  25
20.  If you pop all the letters of the word success in a bag, what are the chances,     
      expressed as a fraction, that you can pull out the letter s without looking?  3/7

SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 - 6

Test 6

1.    What number is 3 cubed?   3 x 3 x 3 = 3 x 9 = 27
2.    Subtract twenty-one from forty.  40 – 21 = 19
3.    What is eight times eight minus six times eight?    2 x 8 =16
4.    Write nought point nought nine as a fraction?    0.9
5.    A regular pentagon has a side length of four centimetres. 
      What is its perimeter?  5  x  4  =  20cm

6.    Double one hundred and ﬁfty and then double the answer.  600
7.    What number is exactly half way between ﬁfty and eighty?   65
8.    Multiply minus six by minus eight.   -6  x  -8  =  48  
9.    What time is it ten hours after eight pm?  6am   (add 12, subtract 2)
10.  The probability that I will have toast for breakfast is nought point three.
       What is the probability that I will not have toast for breakfast?   0.7

11.  Simplify the fraction  12 as far as possible.		1
                                        36                                      3
12.  How many sevens are there in six hundred and thirty?  90  (spot the 63)
13.  What is thirty-one point nine subtract twenty-one point four?  10.5
14.  How many edges does a cube have?	12
15.  What is ﬁve percent of one thousand?   5  x  1000   =  50
						      100
16.  I started at 3.15pm and worked for 45 minutes.  What time did I finish?   4pm
17.  Emily chose a number. She halved the number then added ten       
       to the result. Her answer was thirty-ﬁve. What was the number 
       she started with?     x +  10  =  35   so  x  =  35 – 10  so  x  =  2 x 25  =  50
                                      2			      2
18.  Multiply seventy-ﬁve by twenty.   1500
19   Subtract nought point nought ﬁve from nought point ﬁve.   0.5 – 0.05 = 0.45
20   A football team is made up of 8 boys and 4 girls. They score a goal.
       What is the probability of the goal scorer being a boy?
       Answer must be simplified.   8 in 12  =  2 in 3  or  2/3 

SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 - 6

Test 7

1.    What do I need to add to sixty-three to make one hundred?  100 – 63 = 37
2.    How many faces does a triangular prism have?     5
3.    Multiply six by nine.
4.    Write zero point seven as a fraction.
5.    I am thinking of a number. I call it b.  I subtract two from my number. 
       Write an expression to show the result.   b  -  2

6.    Add eight to minus three.     5          -3 + 8  =  8 – 3  =  5
7.    Express one and three quarters in decimal form.    1.75
8.    What is the next number in this sequence?    0, -0.5, -1, -1.5, -2......   -2.5
9.    Jon is facing due north. He turns 45 degrees to his right.
       What direction is he now facing?    NE  (north east)
10.  Two numbers add up to 12. One of the numbers is two more
       than the other.  What are the two numbers		7,  5

11.  Each side of an octagon is five centimetres long.   What is its perimeter?   40cm
12.  A number multiplied by four equals two hundred and eighty.
       What is the number?   4x  =  280   x  =  70
13.  What number is halfway between zero point three and zero point four?  0.35
14.  Divide six hundred by twenty-ﬁve.   100 div 25 = 4   so 600 div 25 = 6 x 4 = 24
15.  Write the second prime number that is between twenty and thirty.   23  -  29

16.  Subtract three hundred and ninety-nine from eight hundred.  401  +  399  =  800
17.  What is the value of ‘pi’ to two decimal places?    3.14
18.  How many years are there in a decade?      10
19.  Nine is half of a number. What is one-third of the number?  
                                                                                      2x = 9; x = 4.5, 1/3rd = 1.5
20.  Write down the formula for the following:
      There are x people on a bus. One half of the passengers get off
      And 4 people get on.  How many passengers (p) are on the bus?
      p  =  x  +  4
             2

SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 - 6

Test 8

1.    How many days are there in 5 weeks and 5 days?	35 + 5  =  40
2.    Which type of triangle has 3 equal angles?		equilateral
3.    Write the fraction sixteen-sixty fourths as simply as possible.	16/64 =  ¼ 
4.    Round nought point three four eight to two decimal places.	0.348  =  0.35
5.    Divide minus one hundred by minus ten.           10  (plus 10)
6.    What is the ½ of a ½ of a ½ ?          1/8th 
7.    In the equation  a + b  =  9, what is a when b is 6?      9 – 6  =  3
8.    What is the sixth number in this sequence?     5  -  4  -  3  -  2  - 1.....  -1 (minus 1)
9.    Here are the goals scored in the last 5 matches.      8  -  4   -  7   -  0  -  6
       What is the mean?       total = 25  so mean = 25 div 5  =  5
10.  One book costs ﬁve pounds and ninety-nine pence.  
       What’s the cost of ten books?   x  =  (10 x 6)  -  10p  =  £60 – 10p  =  £59.90p
11.  What is 20 percent of 700?     20 over 100  x  700  =  140
12.  The ratio of men to women in a chess club is three to two.
       There are ﬁfty people in the chess club. How many are women?
       (3/5th are men. 2/5th are women.  So  50 div 5 times 2  =  20 women)
13.  Multiply two x by ﬁve y. Write your answer as simply as possible.    10xy
14.  A racing pigeon can ﬂy at a speed of ninety kilometres per hour.
       At this speed, how far would it ﬂy in one minute?    1.5  or  1 ½ kilometres
15.  On Thursday night the temperature fell to minus 4 degrees C.
       By Friday noon, it had risen 10 degrees C.    What was the temp?    6 degrees C
16.  The length of the rectangle is 20 centimetres.  The perimeter is 60cm.
       What is the width of the rectangle?     20 + 20 + 10 + 10  =  60      10cm
17.  I think of a number. I double the number. I halve this number.
       The result is 4.    What’s my number?     2x  +  8  =  4        My number is 0.
                                                                            2
18.  A snooker table has 6 red balls and 4 other colours in it. One ball is hit without 
       looking at its colour.  What is the probability that it is red ball expressed as a 
       simplified fraction?    6 in 10   6  =  3
					  10      5
19.   Callum thinks of a number. He adds half of the number to a quarter of the 
        number and he gets 60.  What’s Callum’s number?   45
20.   True or False?  ‘All numbers that end in 4 are multiples of 4.’   False  (14)
SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 – 6plus

Test 9

1.   What number is less than 150 less than 2250?       2100
2.   What is 30 multiplied by 30?	 900  (Do the zeros first.)
3.   A television programme starts at 9.38 and ends 1t 10.05?
     How long does it last?     27 minutes
4.   The exchange rate is 1.6 US dollars for £1.
      How many dollars will you get for £2?    		2 x 16 = 32      $3.2
5.   What is the square root of 144?        12 x 12  =  144      12

6.   Which two single digits have a product of 63?        9  x  7
7.   Imagine a cuboid.  How many vertices does it have?  8 vertices
8.   35 % of a number is 42.  What is 50% of this number?   
      5% of the number is 6.  Therefore, 50% of the number is 60.
9.   A bat flies at an average speed of thirty kilometres per hour.
      At this speed how far would it fly in 10 minutes?  1/6th of 30 = 5 kilometres
10.  I think of a number. I call it p. I double the number the subtract 10. 
       Write an expression to show the result.     2p – 10

11.  What is the surface area of a cube of side 3cm?   3 x 3 x 6  =  54 square cms
12.  What is 15.6 divided by 4?		3.9
13.  What is two-thirds of three-fifths of one hundred?   
       3/5ths x 100 = 60    2/3rd x 60 = 40	
14.  How many faces has a tetrahedron?	4
15.  A car is travelling at eighty miles per hour for one hour and fifteen minutes.     
      How far has it travelled?  80 + ¼ of 80  =  100 + 20  =  120 miles
16.  Write the ratio twelve to six in its simplest form?     12.6   =  2.1
17.  Increase £1 by 75 percent      £1.75p
18.  I start at six and count back in equal steps, six, one, minus four…
       What is the next number in the sequence?  6, 1, -4, …. -9
19.  The mean of three numbers is seven. One of the numbers is eight. 
       Another number is nine. What is the third number?  21 = 8 + 9 + 4
20.  A computer game costs £45. Its price is increased by 10%.
        What is the new price of the game?		£45 +  £4.50  =  £49.50p            

SATS – KEY STAGE 2 – MATHS – MENTAL TESTS – LEVELS 4 – 6plus

Test 10

1.   How many grams are there in ten kilograms?	10,000
2.   What is the sum of 5 squared plus 3 cubed?	25  +  27  =  52
3.   Calculate the width of a rectangle if the length 
      is 10cm and the area is 50cm squared.		10 x 5 = 50    5cm
      (Hint – draw a little rectangle)
4.   If 2x  +  2y =  10, and y  =  2,  what is the value of x?     2x + 4 = 10     x = 3
5.  Messi scored 5 goals for every 3 goals that Ronaldo scored.
     If Messi scored 25 goals, how many did Ronaldo score?		5 x 3 = 15
6.  What is three quarters of a half?		3  x  1  =  3
                                                                        4      2       8
7.   Change 7 ½ to an improper fraction.	15
							 2
8.   5 times a number is 725. What’s the number?   5x = 725  x = 145
9.   The sum of two angles of an equilateral triangle  is 120 degrees.
      What is the size of the third angle?      60 + 60 + 60 = 180   60 degrees
10  In your tube of Smarties, you have 10 red, 8, green, and 2 blue left.
      What’s the probability that your next Smartie will be green?    8.20  or  2.5

11.  What is the missing prime number?      3, 5, 7, x, 13, 17         11
12.  What is 20 percent of 500?          One fifth of 500  =  100
13.  What is the surface area of a cube of side 5cm?   5 x 5 x 6  =   150 square cms
14.  Eddie has £5.  While gambling he loses  £10.
       He hands over the £5.  How much debt does Eddie have?    £5  (negative 5)
15.  What is the value of ‘pi’ to the nearest whole number?     3
16.  What is 0.5 multiplied by 0.5?		0.25
17. Increase £1.50p  by 50 percent      £2.25p
18.  What number is halfway between zero point five and 1?  0.7
19.  Each side of a regular octagon is ten centimetres long.   
       What is its perimeter?   80cm 
*20.  Which is the odd number out?    2, 3, 5, 7, 11, 13, 17 19       2  (even number)

•	Remind pupils that these are all prime numbers.
•	Remind them also that 1 is not a prime number.