Non Calculator Tests

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Non Calculator Tests

• Third Year

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Click on a number in the table above to go to the
test of your choice.
The solutions follow after the test
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Non Calculator Test 1
1. What is (?7) ? (?8) ? 2. Express 19/20 as
a decimal 3. What is ?121 ? 4. Express 186 000
in scientific notation (standard form) 5. List
all the factors of 18 6. What is the product of
20 and 300 ? 7. Find 52 ? 4 8. Round 1874
to 2 significant figures 9. A boy scored 16
out of 20 in a test. Express this
as a percentage. 10. What is
?
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Non Calculator Test 2

• 1. Split 20 between 2 people in the ratio 4
  1.
• How much does each receive ?
• 2. Simplify 8x ? 2 3x 10
• 3. Simplify 2a ? 5a ? 3b
• 4. At a speed of 30 km/hr, how far would I
  travel in hours ?
• 5. What is 43 ?
• 6. What is 68 024 ?
• 7. Round 3508 to 2 decimal places.
• 8. Find the area of a rhombus with
• diagonals 10 cm and 7 cm
• 9. What is the median score for these test
  results ?
• 12, 13, 18, 12, 10 ?
• When a dice is rolled, what is the
• probability of a 5 appearing ?

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Non Calculator Test 3

• 1. Factorise 2x2 ? 6x fully
• 2. What is 1/2 ? 4/5 simplified as far as
  possible ?
• 3. Find 6 ? ( ? 8)
• Express 34/5 as a decimal
• 5. Express 00064 in scientific notation
  (standard form)
• What are the quotient and remainder when 30
• is divided by 7 ?
• What is 02 ? 04 ?
• 3 buns cost 48 pence. What will 2 buns
  cost ?
• Remove the brackets 3x(2x ? 4)
• The scale on a map is 1 5000.
• On the map, a field is 4 cm long.
• What is the real length of the field in metres ?

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Non Calculator Test 4

• 1. Express 005 as a fraction in its
  simplest form
• 2. What is 75 of 160 ?
• What is the value of 2a2 when a 3 ?
• 4. Write down all the whole numbers satisfying
  the inequality
• 2x 1
  ? 7
• The diameter of a circle is 6 cm.
• Which of these is an approximate answer for
  its circumference ?
• 14 cm, 19 cm, 24 cm, 30 cm ?
• 6. What are the prime factors of 20 ?
• Round 12076 to 3 significant figures
• This figure consists of 2 parallel lines and
  an isosceles triangle. Find x
• 9. When a spinner is spun, what is the
  probability of it stopping
• on an even number ?

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Non Calculator Test 5

• 1. What is (?18) ? (?3) ?
• 2. What is ?400 ?
• A number in scientific notation is 213 ?
  104.
• Write out the number in full.
• 4. Evaluate 20 ? 015
• 5. I bought a C.D. player for 40 and sold it
  for 30 making a 10 loss.
• Express this loss as a percentage of the
  cost price of 40.
• 6. Simplify 8y 3w ? y 4w
• 7. Write down the formula for calculating the
  area of a circle.
• 8. Here are the ages of a group of boys ?
• 10, 12, 14, 12, 12, 13,
  15, 12, 10, 10
• What is the modal age (the
  mode) ?
• 9. If 5x 6 4x 10, what is the value
  of x ?
• 10. A model car is 20 cm long.
• On a scale drawing, the car in the picture
  is 5 cm long.
• What is the scale factor ?

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Non Calculator Test 6
1. Express 1/3 as a decimal 2. Which of the
following is NOT a factor of 24 ?
1, 2, 3, 4, 5, 6, 8 ? 3. What is 7
? 004 ? 4. How many 1/8 s are there in
1/2 ? 5. Share 15 between 2 people in the
ratio 2 1 How much does each person
receive ? 6. Simplify 5x ? 3y ? y 7. It is 50
km from my house to the airport. How long
would it take me to get there at an average speed
of 20 km/hr ? 8. Write down a relationship
between the 3 sides of this right angled
triangle. 9. What is the probability of choosing
a square from this board which contains a
cross ? 10. Find 12 ? 2 ? 5
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Non Calculator Test 7

• 1. What is the value of 34 (3 to the power 4)
  ?
• 2. Find half of 99
• Round 68975 to 3 significant figures.
• Find of 18
• 5. To pack 4 boxes full of tins takes 20
  minutes.
• How long would it take to pack 3 boxes ?
• 6. Factorise 6xy ? 9x
• Evaluate 20 ? 2p2 when p 3
• Calculate the area of this kite
• 9. Express 2 as a percentage of 5
• 10. There are 2 parallel lines in this figure.

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• 
  Non Calculator Test 8
• 1. If x -2 find the value of 8 3x
• 2. What is the value of ?(52 122)?
• Write 28000 in scientific notation.
• 4. Find the size of the acute angle between the
  hands of a clock at 4.30pm
• 5. Find 17½ of 800
• 6. I have just received a 50 pay rise and now
  earn 60000 pa.
• How much did I earn before the pay
  rise?
• 7. Simplify the expression (x1)2 x(x2)
• 8. What is the value of 0.53
• Evaluate ½ of ½ ½
• A rectangle has a length 4 and a breadth x.
• The area of the rectangle is 50cm2.
• Find the breadth of the rectangle.

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Non calculator Test 9
1. Express as a decimal 2. What is the
value of 32 42 ? 3. What is the product
of 4, 3, 2, 1 and 0 ? 4. Round 375 001 to
2 significant figures 5. George scored 36/50 in
a test. What was Georges percentage mark
? 6. Evaluate 1/2 ? 2/3 ? 3/4 ? 4/5 7. A man
owns 80 hectares of land. He divides it
between his 2 sons in the ratio 1 3. How many
hectares does each son receive ? 8. Simplify 3x2
4x 2x2 ? 6x 9. Calculate the area of
this triangle. 10. What is the value of 24
? (?8) ?
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Non Calculator Test 10

• 1. What is ? 5 ? 4 ?
• 2. Express 0038 in standard form (scientific
  notation)
• 3. Find 11 ? 075
• 4. I have a certain fixed amount of money.
• I can buy 3 books at 8 each.
• How many books could I buy if they had cost 6
  each ?
• 5. Simplify 4a ? 7a
• Factorise 12a ? 8b
• 7. I reduce this large picture to
• the small one in a photograph.
• What is the scale factor ?
• 8. Calculate the size of the
• angle marked x in this figure.
• 9. The mean age of 2 boys, David and John, is
  13.
• David is 10. How old is John ?
• When a normal dice (die) is rolled,

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Non Calculator Test 11
1. Express 15/4 as a decimal 2. Which of the
following is not a prime factor of 30 ? 2,
3, 5, 7 ? 3. Find 072 ? 6 4. What is
331/3 of 210 ? 5. Expand the brackets 3a(5a
? 2b) 6. The circumference of a circle is 31
cm. Which of these is most likely to give the
size of the diameter ? 5 cm, 10 cm, 15 cm,
20 cm ? 7. Express 9 as a percentage of
12 8. Simplify 7a ? 2b ? a 5b 9. What is the
value of 3 cubed plus 3 ?
t2 p2 v2 , v2 t2 ? p2 , p2 t2 ? v2
, v2 t2 p2
10 Which of these is not true for the
triangle shown
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Non Calculator Test 12
1. What is (?45) ? (?5) ? 2. Express 0000052
in scientific notation (standard form) 3. The
product of two numbers is 36. One of them is
9. What is the other one ? 4. What is 2 ? 095
? 5. Express 0096 to two decimal
places 6. What is 17/8 1/4 ? 7. What is the
value of ab2 given that a 5 and b 2
? 8. A tortoise moves at 12 centimetres per
minute. How far will it travel in 5
minutes ?
9. Calculate the area of this
parallelogram 10. Solve for x, 2x ? 1 x
4
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5.2
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Non Calculator Test 13

• 1. What is 79 ? ( ? 21) ?
• 2. The scale of a map is 1 10 000. A line on
  the map is 3 cm long.
• What length does this really represent (in
  metres) ?
• 3. Write down all the factors of 21
• 4. In a small test, Scott scored 4 out of 5.
• What was his percentage mark ?
• A piece of string is 24 cm long. It is cut into
  2 pieces whose lengths are in the ratio 5 1.
• What length is each piece ?
• 6. Simplify (3p)2 ? q
• 7. What is 024 as a fraction in its simplest
  form ?

8. Factorise 15n2 ? 30n 9. ABCD is a
parallelogram. What is the size of the
angle marked x ? 10. Look at these test
results. 13, 14, 14, 14, 16, 16,
17, 18, 20 What is the larger ? the
median or the mode ?
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Non Calculator Test 14
1. What is 302 ? 2. What quotient and remainder
do you get when you divide 30 by 7
? 3. Simplify 5a(2a 4) 4. Round 13 689 to 3
significant figures 5. How may 1/2s in 41/2
? 6. Out of 20 people at a meeting, 4 wore
glasses. What percentage of the group wore
glasses ? 7. To walk 5 km took Laura 40
minutes. How long, at the same speed, did it
take her to walk 3 km ? 8. Simplify 10p 3q ?
p ? 5q 9. What is 02 ? 03 ? 10. Which of these
are NOT solutions of x 4 lt 10 5, 6, 4,
3, 1 ?
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Non Calculator Test 15
1. What is (?6)2 ? 2. Express 2 4/5 as a
decimal ? 3. Write out 23 ? 10?4 as a
decimal 4. Write down all the multiples of 6
between 40 and 50 5. What is 14 065
? 6. Find the value of 100 ? 3t when t
25 7. Find 52 ? 4
8. The diagonals of a rhombus are 20 cm and 12
cm. Calculate its area.
9. Write down a connection between the lengths of
the three sides of this triangle.
10. If a card is chosen at random from a pack of
cards, what is the probability it will be a
spade ?
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Non Calculator Test 16
1. What is
2. What is the sum of 2, 3, 4, 5 and 6
? 3. What is 054 ? 6 ? 4. In a large
test, Brian scored 170 out of 200. What
was his percentage mark ? 5. Find 2/3 ? 3/5
6. The ratio of boys to girls passing an exam
is 2 3 If 12 boys passed, how many
girls also passed ? 7. Simplify 2a ? 3a ? 4a

• 8. Factorise fully 8m ? 12n
• 9. The radius of a circle is 2 cm.
• Give an estimate of the length of its
  circumference.
• The mean age of Mrs Joness three children is 5.
  
• Tom is 3 and Lucy is 4.
• How old is Andrew, the third child ?

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Non calculator Test 17
1. Find 2 ? (?3) 2. This number appeared on a
calculator display 3.61 04 Write it
out in full (not in scientific notation). 3. What
is 032 ? 029 ? 4. Round 00648 to 2
significant figures 5. Of 1000 plastic buckets
produced in a factory, 80 were faulty. What
percentage of buckets were faulty ? 6. At a speed
of 3 miles per hour, it took me 4 hours
to walk round the isle of Millport. How long
would it have taken if I walk at 2 miles
per hour ? 7. Simplify 8a 3b ? a ? 7b 8. The
scale of a map is 1 cm 20 metres. A
road is 31/2 cm long on the map. What is its
true length ?
9. Calculate the size of the angle between
2 adjacent sides of a regular
hexagon. 10. Simplify 4(3t ? 2)
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Non Calculator Test 18
1. What is 7/25 expressed as a decimal
? 2. What is 12 22 32 ? 3. Give any one
common factor of 18 and 30. (except
1) 4. What is 1/2 of 09 ? 5. What is 31/4 ?
23/4 ? 6. Simplify 4p ? 3q ? r 7. The range of
scores in a test is 15. Paul got the lowest
mark of 4. Colin got the highest mark. What
was his score ? 8. What is the value of 3p2
when p 2 ? 9. The diagonals of a kite are 7
cm and 4 cm. Calculate the area of this kite.
10. If a dart lands on this special dartboard,
what is the probability it lands on
number 5 ?
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Non Calculator Test 19

• 1. What is ?8 (?5) ?
• 2. Express 4 million in scientific notation
  (standard form)
• When a number is divided by 3, the quotient is
  4
• and the remainder is 2. What is the number
  ?
• 4. What is 1 ? 099 ?
• 5. Find 90 of 90
• 6. A man and a woman split their restaurant bill
  in the ratio 2 1.
• If the bill was 24, how much did the man pay
  ?
• 7. Factorise x2 ? x
• 8. A boy cycles at an average speed of 20 miles
  per hour.
• How long will it take him to cycle 70 miles ?
  (answer in hours and minutes)

9. The time is half past two. What is the size
of the smaller angle between the hands
of the clock ? 10. Find x given that 3x 1
2x 4
40
4
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Non Calculator Test 20
1. Express 31/5 as a decimal 2. What is 14
? 3. List all the factors of 23 4. Find 51 ?
3 5. Round 1 876 000 to 2 significant
figures 6. Express 6 as a percentage of
8 7. Simplify 2a 7b ? 3a b 8. What is
the largest whole number which is the solution of
x 3 lt 11 ? 9. What is the median of
these numbers ? 3, 7, 9, 14
10. Simplify 2a(a ? 3b)
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Non Calculator- Test 21

• 1. If x -3 , y -5 and t 7 , find the value
  of 2xy yt
• 2. If x y 15 and x y 8 , find the value
  of x.
• 3. Find 8 of 386
• 4. Remove the brackets (2x 1)(x2 3x 5).
• 5. Evaluate 13.8 14.7 4.6
• 6. If 12½ of a sum of money is 18 , find the
  sum of money.
• The perimeter of the rectangle shown is 73cm.
• Find the value of x.
• 8. The area of the rectangle shown is 92cm2 ,
  find the value of x.
• Evaluate ½ of ( 12¼ - 5¾ )

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Non Calculator- Test 22

• 1. If x 3, y 4 and t -2 , find the value
  of
• If 2x y 23 and y x 8, find the value of
  x.
• Find of 210
• 4. Remove the brackets (2x 1)(x 1)(x 2).
• 5. Which of these fractions is largest ,
  or
• 6. Use Pythagoras to find the value of x in the
  triangle shown.
• 7. Evaluate 3.8 6.2 5
• 8. Factorize fully x2 7x 18
• 9. Evaluate

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Non Calculator- Test 23

• 1. Remove the brackets (x 4)(x2 2x 5).
• If ¾ of a sum of money is 396, find the sum of
  money.
• Find the value of x if 3x 4y 7 and x y 0.
• 4. The area of the rectangle shown is 60 cm2.
• Make an equation and find x correct to 1
  decimal place.
• 5. If x -1, y -6 and t 10 find the value
  of y2 4xt.
• 6. Find 40 of 2500.
• 7. Factorize fully x3 4x
• Solve the equation x(x 8) (x2)(x5)
• 9. Find the amount of V.A.T. to be paid on an
  article costing 400.
• ( The rate of VAT is 17½)
• 10. The diagram shows the lines x y 8 and y
  x 1.
• The lines intersect at the point P.
• Find the coordinates of point P.

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Non Calculator- Test 24

• 1. If y -4, find the value of 40 5y2.
• 2. If y 2x and x y 60 find the value of y.
• Factorize fully 9x2 121
• 4. Solve the equation x2 (x2)(x1)
• Find ¼ of (13¼ - 4¾)
• 6. The area of a rectangle is 162cm2.
• The length of the rectangle is twice the
  breadth.
• Find the length of the rectangle.
• 7. Find x in the triangle shown.
• Remove the brackets (2x 5)(x2 4x 3)
• If x is an acute angle and sin x , find
  the exact value of tan x.

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Non Calculator- Test 25

• 1. If f(x) 3x 7 and f(t) 20 , find t.
• 2. Multiply out the brackets (3x 2)(2x2 x
  2)
• 3. Find the equation of the straight line in the
  diagram shown
• 4. Solve the inequation 5(x-2) 1 lt 0
• Find the gradient of the line which passes
• through the points (-2,0) and (0,-4).
• 6. Evaluate 13.8 6.2 5
• 7. If cosx , and x is an acute angle ,
  find the exact value of tanx.
• 8. If y 2x and x y 27, find the value of
  y.
• 9. Evaluate -
• 10. Factorize fully 3x3 3x

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Non Calculator- Test 26
A rectangle has an area of 200cm2. If the length
is twice the breadth, calculate the breadth.
Evaluate
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No since 72 72
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Non Calculator- Test 27
Evaluate
of
Evaluate 8.812 1.192
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Non Calculator- Test 28
Calculate the perimeter of the shape shown.
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Non Calculator- Test 29
Is the triangle shown right angled? If so why?
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Non Calculator- Test 30
If
Write
If cos x
, find the exact value of tanx.
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Non Calculator- Test 31
Calculate 3 of 64.
If f(x)
and f(t)
Is the triangle shown right angled? If so, why?
5
The perimeter of the rectangle shown is 84 cm.
Make an equation and find x
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Non Calculator- Test 32
Solve the equation
Evaluate
If x -3 and y -4 , find the value of
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Non Calculator- Test 33
Evaluate
Evaluate 15.8 17.2 6.7
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Non Calculator- Test 34
If
The perimeter of the rectangle shown is 56 cm.
Make an equation and find x correct to 1 decimal
place.
Evaluate
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Non Calculator- Test 35
Find the equation of the straight line in the
diagram shown.
Find the gradient of the line which passes
through the points (-3,7) and (5,8).
Evaluate
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Non Calculator- Test 36
Evaluate
of
Solve the equation
Evaluate 13.692 6.312
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