Non Calculator Tests Third Year Non Calculator Tests 123456 789101112 131415161718 192021222324...

Non Calculator Tests

Third Year

Non Calculator Tests

1 2 3 4 5 6

7 8 9 10 11 12

13 14 15 16 17 18

19 20 21 22 23 24

25 26 27 28 29 30

31 32 33 34 35 36

Click on a number in the table above to go to the test of your choice.

The solutions follow after the test

1. What is (7) (8) ?2. Express 19/20 as a decimal3. What is 121 ?4. Express 186 000 in scientific notation (standard form)5. List all the factors of 186. What is the product of 20 and 300 ?7. Find 5·2 48. Round 1874 to 2 significant figures9. A boy scored 16 out of 20 in a test. Express this as a percentage.

10. What is ?4

35

4

32

Non Calculator – Test 1

Question Solutions - Test 1

1 56

2 95%

3 11

4 1.86x105

5 1 , 2 , 3 , 6 , 9 , 18

6 6000

7 1·3

8 1900

9 80%

10 8½

1. Split £20 between 2 people in the ratio 4 : 1.How much does each receive ?

2. Simplify 8x 2 + 3x + 103. Simplify 2a 5a 3b4. At a speed of 30 km/hr, how far would I travel in hours ?5. What is 43 ?6. What is 6·8 + 0·24 ?7. Round 3·508 to 2 decimal places.8. Find the area of a rhombus with

diagonals 10 cm and 7 cm9. What is the median score for these test results :

12, 13, 18, 12, 10 ?10. When a dice is rolled, what is the probability of a 5 appearing ?


2

12

Question Solutions – Test 2

1 ₤16 , ₤4

2 11x + 8

3 30a2b

4 75 miles

5 64

6 7·04

7 3·51

8 35

9 12

10 1/6

1. Factorise 2x2 6x fully2. What is 1/2 4/5 simplified as far as possible ?3. Find 6 ( 8)4. Express 34/5 as a decimal

5. Express 0·0064 in scientific notation (standard form)6. What are the quotient and remainder when 30 is divided by 7 ?7. What is 0·2 0·4 ?

8. 3 buns cost 48 pence. What will 2 buns cost ?9. Remove the brackets 3x(2x 4)

10.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 ?



1 2x(x-3)

2 2/5

3 14

4 3·8

5 6.4x10-3

6 4 remainder 2

7 0·08

8 32p

9 6x - 12

10 200m

1. Express 0·05 as a fraction in its simplest form2. What is 75% of £160 ?3. What is the value of 2a2 when a = 3 ?4. Write down all the whole numbers satisfying the inequality 2x + 1 75. 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 ?7. Round 12·076 to 3 significant figures8. 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 ?

10. 2 men can build a wall in 6 days. How long, at the same rate, would 3 men take ?



1 1/20

2 ₤120

3 18

4 {0,1,2,3}

5 19cm

6 2 , 5

7 12·1

8 50

9 2/5

10 4 days

1. What is (18) (3) ? 2. What is 400 ?3. A number in scientific notation is 2·13 104. Write out the number in full.4. Evaluate 2·0 0·155. 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 + 4w7. 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 ?



1 6

2 20

3 21300

4 1.85

5 25%

6 7y + 7w

7

8 mode = 12

9 x = 4

10 ¼

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 0·04 ?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 y7. 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



1 0·3333

2 5

3 0·28

4 4

5 ₤10 , ₤5

6 15xy2

7 2½ hours

8 p2 = a2 + t2

9 1/3

10 2

1. What is the value of 34 (3 to the power 4) ? 2. Find half of 9·93. Round 68·975 to 3 significant figures.

4. 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 9x7. Evaluate 20 2p2 when p = 3

8. Calculate the area of this kite

9. Express £2 as a percentage of £5

10. There are 2 parallel lines in this figure. Calculate the size of the angle marked x.

3

266



1 81

2 4·95

3 69·0

4 ₤12

5 15 minutes

6 3x(2y-3)

7 2

8 14cm

9 40%

10 70°


1. If x = -2 find the value of 8 – 3x 2. What is the value of (52 + 122)?3. Write 28000 in scientific notation.

4. Find the size of the acute angle between the hands of a clock at 4.30pm5. Find 17½% of £8006. 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 (x+1)2 – x(x+2)8. What is the value of 0.53

9. Evaluate ½ of ½ + ½

10. A rectangle has a length 4 and a breadth x. The area of the rectangle is 50cm2. Find the breadth of the rectangle.


1 14

2 13

3 2.8 × 104

4 45°

5 £140

6 £40000

7 1

8 0.125

9 3/4

10 12.5

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 figures5. George scored 36/50 in a test.

What was George’s percentage mark ?6. Evaluate 1/2 2/3 3/4 4/57. 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 6x9. Calculate the area

of this triangle.

10. What is the value of 24 (8) ?

5

24

Non calculator – Test 9


1 4.8

2 25

3 0

4 380000

5 72%

6 1/5

7 20 hectares and 60 hectares

8 5x2-2x

9 36cm2

10 -3

1. What is 5 4 ? 2. Express 0·038 in standard form (scientific notation)3. Find 1·1 0·754. 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 7a6. 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 ?

10.When a normal dice (die) is rolled, what is the probability that it will land showing an even number ?



1 -9

2 3.8 10-2

3 0.35

4 4 books

5 28a2

6 4(3a – 2b)

7 1/5

8 X = 50°

9 16 years old

10 0.5

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 0·72 64. 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 £128. Simplify 7a 2b a + 5b9. 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

v

pt



1 3.75

2 7

3 0.12

4 £70

5 15a – 6ab

6 10cm

7 75%

8 6a + 3b

9 30

10 The last one is not true.

1. What is (45) (5) ?2. Express 0·000052 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 0·95 ?5. Express 0·096 to two decimal places6. 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 parallelogram10. Solve for x, 2x 1 = x + 4


8

12

5.2


1 9

2 10-5

3 4

4 1.05

5 0.10

6

7 20

8 60 cm

9 40 cm2

10 x = 5

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 214. In a small test, Scott scored 4 out of 5.

What was his percentage mark ?5. 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 q7. What is 0·24 as a fraction in its simplest form ?

8. Factorise 15n2 30n9. 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 ?



1 100

2 300 metres

3 1,3,7,21

4 80%

5 20cm and 4cm

6 9p2q

7 6/25

8 15n(n-2)

9 80°

10 median

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 1/2’s 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 5q9. What is 0·2 0·3 ?10. Which of these are NOT solutions of x + 4 < 10

5, 6, 4, 3, 1 ?



1 900

2 Quotient = 4 , remainder = 2

3 10a2 + 20a

4 13700

5 9

6 20%

7 24 minutes

8 9p – 2q

9 0.06

10 6

tw

a

1. What is (6)2 ?2. Express 2 4/5 as a decimal ?3. Write out 2·3 104 as a decimal4. Write down all the multiples of 6 between 40 and 505. What is 1·4 + 0·65 ?6. Find the value of 100 3t when t = 257. Find 5·2 48. The diagonals of a rhombus are 20 cm and 12 cm.

Calculate its area.

9. Write down a connection between the lengthsof 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 ?

20cm 12cm



1 36

2 2.8

3 0.00023

4 44 and 48

5 2.05

6 25

7 1.3

8 120cm2

9 t2 = w2 + a2

10 1/4

81

2 cm

1. What is

2. What is the sum of 2, 3, 4, 5 and 6 ?3. What is 0·54 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 12n9. The radius of a circle is 2 cm. Give an estimate of the length of its circumference.10. The mean age of Mrs Jones’s three children is 5. Tom is 3 and Lucy is 4.

How old is Andrew, the third child ?



1 9

2 20

3 0.09

4 85%

5 2/5

6 18 girls

7 24a3

8 4(2m – 3n)

9 Approx = 12cm

10 Andrew = 8 years old

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 0·32 0·29 ?4. Round 0·0648 to 2 significant figures5. 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 7b8. 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 ?

x°

9. Calculate the size of the angle

between 2 adjacent sides of a regular hexagon.10. Simplify 4(3t 2)

Non calculator – Test 17


1 5

2 36100

3 0.03

4 0.065

5 8%

6 6 hours

7 7a – 4b

8 70 minutes

9 120°

10 12t - 8

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 0·9 ?5. What is 31/4 23/4 ?6. Simplify 4p 3q r7. 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 ?



1 0.28

2 14

3 2 or 3 or 6

4 0.45

5 1/2

6 12pqr

7 Colin scored 19

8 12

9 14cm2

10 1/8

1. What is 8 + (5) ?2. Express 4 million in scientific notation (standard form)3. When a number is divided by 3, the quotient is 4 and the remainder is 2. What is the number ?4. What is 1 0·99 ?5. Find 90% of £906. 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 x8. 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


4


1 -13

2 106

3 14

4 0.01

5 £81

6 £16

7 x(x-1)

8 3 hours 30 minutes

9 105°

10 x= 3

1. Express 31/5 as a decimal2. What is 14 ?3. List all the factors of 234. Find 5·1 35. Round 1 876 000 to 2 significant figures6. Express £6 as a percentage of £87. Simplify 2a + 7b 3a + b8. What is the largest whole number which is the solution of

x + 3 < 11 ?9. What is the median of these numbers ?

3, 7, 9, 14 10. Simplify 2a(a 3b)



1 3.2

2 1

3 1, 23

4 1.7

5 1900000

6 75%

7 8b – a or –a + 8b

8 7

9 8

10 2a2 – 6ab

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 + 4.66. If 12½% of a sum of money is £18 , find the sum of money.7. 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.

9. Evaluate ½ of ( 12¼ - 5¾ )

10. If sinx = , find the exact value of cosx.

7

x + 5

8

x

13

5


1 65

2 11.5

3 £30.88

4 2x3 – 5x2 + 7x + 5

5 3.7

6 £2.25

7 24.5

8 11.5

9

10 12/13

4

13


1. If x = 3, y = 4 and t = -2 , find the value of

2. If 2x + y = 23 and y = x + 8, find the value of x.

3. 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 × 58. Factorize fully x2 – 7x – 18

9. Evaluate

10. If tan x = , find the exact value of sin x.

y

tx

4

3

2

131

1585

43

24

25x

3

2

2

1

3

4 3

4

x

6

11

5

4


1 5/4 or 1.25

2 x = 5

3 £157.50

4 2x3 + 3x2 – 3x - 2

5 43/85 is the largest

6 7

7 34.8

8 (x-9)(x+2)

9

10


1. Remove the brackets (x + 4)(x2 – 2x – 5).2. If ¾ of a sum of money is £396, find the sum of money.3. 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 – 4x8. Solve the equation x(x + 8) = (x+2)(x+5)

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.

2x + 1

5

y = x + 1

x + y = 8

y

x

P


1 x3 + 2x2 – 13x - 20

2 £528

3 1

4 5.5

5 76

6 £1000

7 x(x-2)(x+2)

8 10

9 £70

10 (3.5,4.5)


1. If y = -4, find the value of 40 – 5y2.2. If y = 2x and x + y = 60 find the value of y.3. Factorize fully 9x2 – 121

4. Solve the equation x2 =(x+2)(x+1)5. 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.

8. Remove the brackets (2x – 5)(x2 + 4x – 3)

9. If x is an acute angle and sin x = , find the exact value of tan x.

10. Can a triangle with sides of length 15 , 21 and 26 be right angled ? If not, why not?

x15

12

10

6

8

12


1 -40

2 40

3 (3x-11)(3x+11)

4 x = -2/3

5

6 Length = 18

7 x = 9

8 2x3 + 3x2 – 26x + 15

9 3/4

10 No, apply the converse of Pyth.


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 < 0

5. 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

(0,1)

(6,4)

x

y

17

8

4

3 2

2

1


1 t = 9

2 6x3 – 7x2 – 4x + 4

3 y = 0.5x + 1

4 x < 1.8

5 m = -2

6 29.8

7 15/8

8 18

9 ½

10 3x(x-1)(x+1)


3

21

2

11 Evaluate

A rectangle has an area of 200cm2. If the length is twice the breadth, calculate the breadth.

1 Factorize fully 8x2 – 2x4

2 If f(x) = 3 – 2x – 2x2 , find the value of f(-2).

3 The point (t,6) lies on the line with equation y = 3x – 12. Find the value of t.

4

5

6 Find 6% of 73.

7 Solve the equation 3x2 = (3x – 1)(x + 2).

8 A triangle has sides of length 7cm, 7cm and 10cm. Can the triangle be right angled? Explain.

9 If a = -5 , b = -3 and c = 10 find the value of b2 – 4ac.

10 The line joining the points (3,2) and (5,t) has a gradient of 4. Find the value of t.

2

12

No since 72 + 72


1 2x2(2-x)(2+x)

2 -1

3 t = 6

4

5 breadth = 10

6 ₤4.38

7 x = 0.4

8 102

9 209

10 t = 10


4

3

3

22

3

19

1620

x

Evaluate of

Evaluate 8.812 – 1.192

1

2 If x + y = 11 and x – y = 4 , find the value of y.

3 Find the gradient of the line 3x + 2y – 5 = 0

4 Solve the inequation 1 – 2x < -11

5

6 Factorize fully 6x2 – 13x + 6

7 Find x in the triangle shown.

8 Multiply out the brackets (x + 2)3

9 If f(x) = 3 – 2x2, find the value of f(-2).

10 Find 2½% of ₤400


1 5

2 3½

3 -3/2

4 x > 6

5 76.2

6 (3x-2)(2x-3)

7 12

8 x3 + 6x2 + 12x + 8

9 -5

10 ₤10


10

7

4 Calculate the perimeter of the shape shown.

1 Factorize fully x2 – x - 42

2 If y = 2x + 1 and x + y = 16, find the value of y.

3 If 6% of a number is 18, find the number.

4 A ship leaves port and sails East. What is the 3 figure bearing of the port from the ship?

5 Find the equation of the straight line which passes through the points ( 3,7) and (6,13).

6 If P = 3(L + 2B) , change the subject of the formula to B.

7 Find the median of the numbers 5,3,8,4,5,2,6,6,7,9

8 If f(x) = x2 + 1 and f(t) = 37, find t. ( t>0)

9 If x = 3 and y = -4 find the value of xy – y2.

10

6

3LPB


1 (x-7)(x+6)

2 y = 11

3 300

4 2700

5 y = 2x + 1

6

7 Median = 5.5

8 t= 6 or -6

9 -4

10 Perimeter = 26


Is the triangle shown right angled? If so why?

1 If x = 3, y = -4 find the value of 3x – y2

2 An apple and an orange cost 31p. The difference between their prices is 3p. Find the cost of each. ( the apple costs more than the orange)

3 Evaluate 23.8 – 41.9 + 25.6

4 Remove the brackets (2x+3)3

5 Solve the equation x2 = (x + 5)2

6

7 A line has gradient 1.5 and passes through the point (4,2).Find its equation.

8 Factorize fully x – x3

9 Simplify (x+1)2 – x(x - 1)

10 If f(x) = 1 – 2x2 and f(t) = -11, find t.

15

178


1 -7

2 17p and 14p

3 7.5

4 8x3+36x2+54x+27

5 x = -2.5

6 Yes, converse of Pythagoras

7 y = 1.5x - 4

8 x(1-x)(1+x)

9 3x + 1

10 6


4

3

7

4

17

8

If

Write

If cos x = , find the exact value of tanx.

1 If f(x) = ax2 and f(5) = 50, find the value of f(10).

2 If 3x + y = 29 and y = x + 1, find the value of y.

3 of a sum of money is ₤184, find the sum of money.


5 as a decimal correct to 3 decimal places.

6 State the gradient of the straight line with equation 5x + 2y – 4 = 0.

7 Solve the inequation 4(x+3) > 17

8 If f(x) = 1-x3 , find the value of f(2) – f(-2)

9 Solve the equation (x+2)2 = x2 + 80

10

817x


1 200

2 y = 8

3 £245.32

4 (2x-5)(x-5)

5 0.571

6 -2.5

7 x > 1.25

8 -16

9 x = 19

10 15/8


0

(0,3)

(6,0)

y

x

1

12

x

x

3

2

2x + 3

1.52.5

2.0 5

Calculate 3% of £64.

If f(x) = and f(t) =

Is the triangle shown rightangled? If so, why?

The perimeter of the rectangle shown is 84 cm. Make an equation and find x

1 Find the equation of the line shown in the diagram.

2 A ship leaves a port and sails in a SW direction. What is the bearing of the port from the ship?


4 Multiply out the brackets (x + 1)2(x – 3)

5

6 , find t

7

8 If x = -6 find the value of 2 – 2x2

9

10 The point (t,5) lies on the straight line 2x + y – 1 = 0. Find the value of t.


1 y = -0.5x + 3

2 045°

3 (3x-2)(3x-2)

4 x3 – x2 - 5x - 3

5 £1.92

6 x = -1.25

7 Yes, converse of Pythagoras

8 -70

9 17

10 t = -2

2

5

5x

7

21

3

24

y

x 2

0

y

x

P

y = 0.5x + 2

y = 4

Solve the equation

Evaluate

If x = -3 and y = -4 , find the value of

1 The lines with equations y = 4 and y = 0.5x+2 meet at point P. Calculate the coordinates of point P.

2 Factorize fully 4x3 – 64x

3

4 If two dice are thrown together, what is the probability that the sum of the two dice is 8?

5 Evaluate 0.43

6 I have just received a 25% pay rise and now earn ₤36000 per annum. How much did I earn before the pay rise?

7 Two of the angles of an isosceles triangle are 2x and 5x. Find two possible values for x.

8

9



1 P(4,4)

2 4x(x-4)(x+4)

3 12.5

4 5/36

5 0.064

6 £28800

7 20° and 15°

8 6

9 -2.25

10 - - -


5

21

2

12 Evaluate

Evaluate 15.8 – 17.2 – 6.7

1 Factorize fully x2 – 5x - 14

2 If f(x) = ax2 + 5 and f(2) = 33, find a formula for f(x).

3 Multiply out the brackets (x+1)2(x-4)

4

5

6 State the gradient of the straight line y = 2.

7 Solve the equation x2 = (x – 1)(x + 3).

8 A triangle has sides of length 2.4cm, 3.2cm and 4cm. Can the triangle be right angled? Explain.

9 Find 17½ of ₤800.

10 Find the value of t if t + v = 9 and t – v = 9.


1 (x-7)(x+2)

2 f(x) = 7x2 + 5

3 x3 – 2x2 – 7x - 4

4 3½

5 - 8.1

6 m = 0

7 x = 1.5

8 Is 2.42 + 3.22 = 42, yes it is.

9 ₤140

10 t = 9


5

2

3

11

4

1

3

2

5x + 1

4

If

The perimeter of the rectangle shown is 56 cm. Make an equation and find x correct to 1 decimal place.

Evaluate

1 Remove the brackets (x + 4)(5 + 2x - x2).

2 of a sum of money is £94, find the sum of money.

3 Find the value of y if 4x + 3y = 7 and y = x + 7

4

5 If x = -6, find the value of 2x(x-1)

6 The perimeter of a square is 5cm. Find the area of the square.

7 Factorize fully t2 – t - 2

8 Solve the equation x(x + 2) = (x+2)(x+5)

9 The angles of a quadrilateral are x , 3x , 4x and 80º. Find the size of all the angles.

10


1 20 + 13x – 2x2 – x3

2 ₤235

3 x = -2 , y = 5

4 x = 4.6

5 84

6 x = 1.25, area = 1.5625

7 (t-2)(t+1)

8 x = -2

9 35° , 105° , 140° and the 80°

10 1


4

31

2

4

3

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

1 If f(x) = x2 – 7 and f(t) = 74 , find t.

2 Multiply out the brackets (3x + 4)(x2 – 2x – 5)

3

4 Solve the inequation 4(2x-3) – 9x < 0

5

6 Evaluate 0.122

7 An apple and 3 oranges cost 49p while two apples and 5 oranges cost 85p. Find the cost of each.

8 Simplify the expression (x+2)2 – (x+4)(x+1)

9 -

10 Factorize fully 144x2 – 49y2

(0,2)

(10,6)

x

y

16

31


1 t = 9 or t = -9

2 3x3 -2x2 – 23x - 20

3 y = 0.4x + 2

4 x > -12

5 m = 1/8

6 0·0144

7 Apple = 10p , orange = 13p

8 - x

9

10 (12x-7y)(12x+7y)


2

1

4

32

4

15

5

3

2

1

x

x

1525

x

Evaluate of

Solve the equation

Evaluate 13.692 – 6.312

1

2 If x + 2y = 13 and x – y = 4 , find the value of x.

3 Find the gradient of the line 2y = 6 - x

4

5

6 Factorize fully x2 – x - 121

7 Find x in the triangle shown.

8 Multiply out the brackets (x + 2)(6 + x – x2)

9 If f(x) = ax3 – 2 and f(2) = 14, find the value of t.

10 Find ½% of ₤480


1 1¼

2 x = 7

3 m = -½

4 x = -5·5

5 147·6

6 (x-11)(x+10)

7 x = 20

8 12 + 8x – x2 – x3

9 a = 2

10 ₤2·40

Non Calculator Tests Third Year Non Calculator Tests 123456 789101112 131415161718 192021222324...

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Transcript of Non Calculator Tests Third Year Non Calculator Tests 123456 789101112 131415161718 192021222324...