Knox Academy

Mathematics Department

COURSE 1 PHASE 1 LEARNING EVALUATION

COURSE 1 PHASE 1 REVISION

NUMBER REVISION

Exercise 1

1. State the place value of each of the underlined numbers:

a) 524 b) 7251 c)92 d)26288 e)1.73 f) 376.4

g) 827382 h)0.4635 i)655012 j)90267 k)0.0329 l) 43672 06

2. Write the following numbers in words:

a) 82 b) 743 c) 206 d) 3225 e) 1900 f) 46800

g) 61504 h)520090 i) 120773 j) 7500004 k) 10650201

3. Write the following numbers as digits:

a) Seventy-six b) eight hundred and thirty c) nine thousand and twelve d) fourteen thousand two hundred and fifty-seven e) five hundred and six thousand and sixty-three f) three million, five hundred and seventy thousand, eight hundred and forty.

4. Put the following numbers in order from smallest to largest:

a) 6,8,7,2,3,5,9 b) 35,38,29,27,30,31 c) 204,199,201,197,210,208

d) 0.6, 0.2, 0.25, 0.5, 0.45 e) 8765. 7872, 8500, 7945, 8037, 8410

Exercise 2

1. Complete the following calculations:

a) 67+18 b) 367+25 c) 628+272 d) 456+198 e) 1604+876

f) 4528+3637 g) 32067+12305 h) 74–26 i) 987–430 j) 149–82

k) 6099–3655 l) 2096–924 m) 6430–2907 n)43807–19765

2. At a local football match, there were 6281 Rovers supporters and 5098 Morton supporters who attended the Saturday match. How many supporters were there altogether?

3. At a five-direction concert there were 12306 fans who attended one Friday night. 594 had to leave early to catch the last train. How many fans were left at the end of the concert?

4. Sam and Matt travelled 325 miles from London to Gretna, 88 miles from Gretna to Edinburgh and 129 miles from Edinburgh to Aviemore. How many miles did they travel altogether?

5. The Smith family saved up £2000. They spent £450 on a new laptop, £625 on a TV and £375 on a games console. How much money do they have left?

Exercise 3

1. Complete the following calculations: a) 563 x 4 b) 78 x 9 c) 902 x 8 d) 1267 x 5 e) 4076 x 6 f) 23 487 x 3

g) 336 ÷ 8 h) 657 ÷ 9 i)1348 ÷ 2 j) 6628 ÷ 4 k) 24948 ÷ 7 l) 42345 ÷ 5

2. Casey collects football cards and has an impressive 189. His friend Steven says he has treble the number of cards that Casey has. How many football cards does Steven have?

3. A small lorry is carrying seven crates. Each crate weighs 1096kg. The maximum the lorry can carry is 8000kg.

Can the lorry carry the crates safely? Explain your answer.

4. The Jackson family won £9000 on the Lotto. If there are six members in the family, how much money will each person get?

5. Sophie bought eight cinema tickets for her friends. The total cost was £60. How much money does each person owe Sophie for their ticket?

6. Chris is paying up his tablet over 9 months. If the tablet cost £495, how much will Chris need to pay each month?

Exercise 4

1. Complete the following calculations: a) 26 x 19 b) 43 x 37 c) 54 x 16 d) 87 x 39 e) 61 x 45

f) 173 x 27 g) 654 x 18 h) 755 x 38 i) 468 x 63 j) 901 x 52

2. The cost of a holidays to Spain is £328 per person. A large group of 12 friends are going on the holiday together. What is the total cost of the holiday?

3. The weight of one large chocolate bar is 95grams. What is the weight of a box of 42 bars?

Exercise 5

1. Complete the following calculations: a) 76 x 10 b) 82 x 100 c) 3.5 x 10 d) 0.16 x 10 e) 68 x 100

f) 184 x 100 g) 8.32 x 100 h) 7422 x 10 i) 1.45 x 100 j) 56 x 1000

k) 91 x 1000 l) 657 x 1000 m) 4538 x 10 n) 0.577 x 1000 o) 27.8 x 1000

Exercise 6

1. Complete the following calculations: a) 560 ÷ 100 b) 3200 ÷ 10 c) 45000 ÷ 100 d) 48 ÷ 10 e) 6700 ÷ 100

f) 230 ÷ 100 g) 170000 ÷ 100 h) 75000 ÷ 1000 i) 0.64 ÷ 10 j) 13000 ÷ 1000

k) 4600 ÷ 1000 l) 3 million ÷ 1000 m) 190 ÷ 100 n) 26 ÷ 1000 o) 8.5 ÷ 1000

Exercise 7

1. Complete the following calculations:

a) 32 x 50 b) 656 x 20 c) 29 x 5000 d) 600 x 8 e) 4000 x 5123

f) 2345 x 300 g) 4.7 x 500 h) 18 x 6000 i) 5.2 x 90 j) 622 x 700

k) 0.38 x 200 l) 981 x 3000 m) 17.4 x 80 n) 25.6 x 800 o) 6754 x 9000

2. A jar contains 567 sweets. How many sweets are in 60 jars?

3. A coach can seat 65 passengers. How many passengers will fit into 30 coaches?

4. A warehouse is selling off £400 washing machines. How much will they make if they sell 215 machines?

5. There are 12 pencils in a box. A school orders 5000 boxes. How many pencils does the school now have?

Exercise 8

1. Complete the following calculations: a) 150 ÷ 30 b) 2400 ÷ 60 c) 8100 ÷ 900 d) 42000 ÷ 700 e) 32000 ÷ 4000 f) 4 500 000 ÷ 5000 g) 32000 ÷ 8000 h) 2070 ÷ 900 i) 256 ÷ 20 j) 28800 ÷ 3000 k) 2.7million ÷ 9000 l) 240 ÷ 600

2. The 300 workers in a supermarket do the lottery and win the jackpot of £2 700 000. How much money should each person receive?

3. A school orders 3500 rubbers. If there were 70 boxes in the delivery, how many rubbers were in each box?

4. A factory has made a batch of 7 200 000 sweets. They have 800 jars ready to fill equally. How many sweets will they be able to put in each jar?

5. A university need to split 240 000 students into 2000 study groups. How many students will be in each group?

Exercise 9

1. Evaluate: a) 7 + 6 x 5 b) 7 – (6 – 2) c) 24 ÷ 6 + 5 d) 7 x 6 + 8 x 2

e) 10 ÷ 5 + 8 ÷ 2 f) (5 – 2) x 7 + 9 g) 60 ÷ (5 + 7) h) 60 ÷ 5 + 7 i) 4 x 3 + 2 j) 4 x (3 + 2) k) 12 x (20 – 2) ÷ 9 l) 36 ÷ (5 + 4)

m) 4 x 12 ÷ 8 – 6 n) o) p) 30 – (16 – 12)2

q) 7 x 6 – 32 + 15 ÷ 5 r) (9 + 2) x (17 – 5) s) 56 ÷ 23 – 4 t) 10 + !" of 39 – 12 u) (7 + 4) x (8 - 5) v) (23 – 5) ÷ 9 w) 3 + 7 x 2 x) 13 – 12 ÷ 6 y) 4 x 32 + 8

2. Choose from the four signs +, -, x, and ÷ to make these sums correct. a. 5 6 7 = 37 b) 5 6 7 = 47 c) 15 8 9 = 87 d) 15 8 9 = 129

e) 15 8 9 = 111 f) 15 5 3 = 6 g) 5 24 6 = 1 h) 19 19 7 = 8 i) 4 4 7 2 = 30

3. Some of these need brackets to make them correct, copy them out and place in the brackets if and where needed: a) 2 x 3 + 7 = 20 b) 13 – 2 x 5 = 55 c) 7 – 4 – 1 = 4 d) 36 ÷ 2 x 3 + 4 = 10

4318

15+

-312

9422

÷+-

ALGEBRA REVISION

Exercise 1

1. Simplify the following expressions by collecting like terms:

a) b + b + b + b + b + b + b + b b) 16d – 6d c) 7x + 8 – 5x d) 5g + 8h – 3g + 6h e) 8y + 4x – 2y – x f) 15m + 11n – 9m – 5n g) 6r + 12 – r – 5 h) 6d + 2e + 5 – 2d + 7e – 3 i) 7k2 + k – 4k2 + 3k j) c + 2c2 + 8 + c + c2 – 1

2. Simplify: a) 7 x f b) 8 x k c) b x c d) g x g e) 4m x n f) 5p x 6q

Exercise 2

1. If a = 2, b = 5, c = 6, d = 10, find the value of: a) d – c b) a + c c) 3b d) bc e) abc f) 3d – 12

g) 4a + 3c h) abc – d i) cd – ab j) bc

a k)

3c + a

4

INTEGER REVISION

Exercise 1

1. Read the following thermometers and state the temperature:

2. Put these temperatures in order, the lowest first.

20oC, -80 oC, -10 oC, -60 oC, -40 oC

3. Which of these temperatures is lowest?

i) -40 oC or -20 oC ii) -160 oC or -170 oC

4. The temperature in Paisley one day in December was 60 oC.

The temperature fell by 8 degrees by 1am. What is the temperature now?

5. What is the difference in temperature between -40 oC and 140 oC?

6. What number is 10 up from -37. 7. What number is 8 down from -23. 8. The temperature in Moscow was -12 oC at 4am. By 2pm the temperature had risen by 7 oC.

What was the temperature at 2pm? 9. The temperature in Russia one afternoon was -7 oC.

By night fall the temperature had fallen by 11 oC. What was the temperature at night fall?

Exercise 2

1. State which of following statements are true or false.

a) 8 > 3 b) -2 < 5 c) 0 < -1 d) -9 > -4

2. Complete the following calculations:

a) 2–7 b)(-3)+8 c) (-5)–9 d) 12–20

e) (-18)+6 f) (-13) + 7 g) 3+(-10) h) 10 + (-4)

i) 0+(-18) j) (-6)+(-8) k)(-2)+(-16) l) (-19) + (-20)

3. Complete the following calculations:

a) 4–18 b)(-6)–15 c) 7–(-10) d) 0–(-19)

e) (-8) – (-3) f) (-17) – (-5) g) (-2) – (-11) h) (-39) – (-20)

i) (-6) – (-4) j) (-10) – (-9) k) (-20) – (-15) l) (-50) – (-30)