Name: Test name...

Date:

1 87.8 + 9.12 2 969 + 981 3 10.08 ÷ 48 4 20735 ÷ 65 5 0.49 × 0.39 6 87 × 631 7 0.646 − 0.602 8 692 − 574

9 10 11 A number, x, is rounded to 1 decimal 12 13 14 15 16

place. Find the difference between: Calculate: Calculate:
77.7 − 45.4 765 + 762
The result is 6. -13 and -12. Find the difference between -46.5 and 36. 459 ÷ − 51
8 − (−16) − 15 − (−16) + (−1) + (−11) 14 + 17 + 12 + 3 + 8

Write down the error interval for x.

17 18 19 The temperature increased by 23°C from 20 21 22 23 24

Rewrite this calculation as a sum. Calculate:
3348 ÷ − 36 −19 × − 32 -5°C. Double 96.5. List all the factors of 248. Write 0.46 as a fraction.
9 + (−12) − (−19) + 11 − 1 5 − 19 − (−2) − (−4) − (−7)
What is the new temperature?

25 26 27 Write 1.74333333. . as a fraction. 28 Given that 7

64
= 0.109375 . 29 30 31 32
Write 31
as a percentage. Write 63% as a decimal. 3
3
+ 3
1
+ 4
2 3
+
3
+
1
Write 54
as a mixed number. Write 18 2
as an improper fraction.
100
Simplify your answer where possible. What is 121
as a decimal? 5 7 9 5 7 9 5 3

64

33 1
7
÷ 1
5
÷ 2
8
34 4
÷
8
÷
6
35 5
−
4
+
6
36 Increase 4 by 1 1
37 List all the integers between −30

12
and 3

2
38 7
×
1
×
5
39 2
5
× 2
3
× 2
8
40 1 1
of 120
9 9 11 7 15 9 7 9 10 2 9 2 11 10 10 15 5

41
1

50
of an amount is 9. 42 43 44 45 46 Simplify 47 Simplify 48 Simplify
Simplify fully 21
3
5
− 4
2
− 2
2 7
−
5
−
4
Find half of 5.4. 6 −4 5 −6 −5 2
What is 3

2
? 441 9 6 5 9 10 7
8 ÷ 2 5 ÷ 5 5 × 5

49 50 51 52 53 54 150 % of an amount is 945. 55 56 Write in ascending order:

Write (16 as a single power of 4. Write down the 7th multiple of 16.
−5 10
) 1005 + 433 9 − 11 + 1 − 7 + 1 8 × 22 ÷ 11 × 35 ÷ 7 78.5 ÷ 1000
What is 110%? 2, 1.4, 1.5, 12, 0.08

57 58 59 60 61 62 63 64
2
A = 2 × 11
5.5
3
= 166.375 Simplify fully Find three consecutive integers that have a Express 64 as the product of its prime Find the highest common factor of 168
4
−2
Work out 2 2
×5 ×17
3

product of 504. B = 2
3
× 7
Work out 0.55 3
√ 252 + √ 448 factors. and 312.
Find the highest common factor of A and B.

65 66 A = 2 × 3
3
67 68 69 70 Rationalise the denominator and 71 72
Find the lowest common multiple of 54 simplify
How many factors does 3000 have? B = 2
2
× 3 × 5 90 × ? = 42 × 45 √175 × √80 Is 269
a terminating or recurring decimal? Simplify √1176
and 66. 26 − √65
600

Find the lowest common multiple of A and B. √65

73 Round 87490 to the nearest 1000 74 Round 0.00415 to 2 significant figures 75 Round 8.94123 to 5 decimal places 76 (1.2 × 10
−11
) + (1.2 × 10
−9
) 77 Write 2 × 10 −6
as an ordinary number. 78 Write 360 × 10 in standard form.
1
79 (4.5 × 10
23
) ÷ (1.5 × 10
−16
) 80 (1.3 × 10
16 2
) × (1.6 × 10 )

81 82 83 Complete the table of values for 84 85 86 87 88

A circle has centre (18, 10) and radius 19. y = 4x + 3x + 2x + 5. If 12x , Solve: Solve: Solve:
3 2
= 187 −16.3x − 15.8y = 16.2
−4 −6
(6 × 10 ) − (1.6 × 10 )
State the equation of the circle. x −2 −1 0 1 2 3 then −12(x + 1) = ? −101 − x = −10 − 8x 2 : x = 16 : 8 −3x − 24y = 7.2 x
2
+ 4x − 5 = 0
y

89 Solve: 90 Solve: 91 Solve: 92 Solve: 93 Solve: 94 Solve: 95 2

−42x +37x+14
96 2 2
−16x +14y −20xy+4x+7y

2 −7x−2 4x+7y
3x − x − 2 = 0 2 − x = −8 4 − −10x = 74 2(−2x − 20) = 3(−x − 5) −7(3x − 6) = 252 −10x − 8 = 8 − 2x
97 Simplify fully 98 Write x − 7x + 30 in the form (x + a)
2 2
+ b , 99 Expand and simplify 100 Expand and simplify 101 Expand and simplify 102 Expand: 103 Factorise fully: 104 Factorise:
8x − 15y − 9y − 13x where a and b are constants. (x − 1)(−x + 7) (−3x − 7)(x + 12) 5(3x − 3) − 5(2x − 3) 7(2 + 3x + 5y) 27x y
3 3
− 117x y
3 5 2
+ 18x y
3
x
2
+ 2x − 3

105 Factorise: 106 Simplify fully 107 If k = 1.1 and l = 12 , calculate: 108 109 110 A straight line passes through the points 111 A line segment passes from (32, 36) to (24, 112 Solve:
? 🠊 ×5 🠊 +8 🠊 +4 🠊 77 16 🠊 −1 🠊 −3 🠊 ÷2 🠊 ? (-34, -27) and (-9, -9). -24).
2 2 2
−9x − 18x + 40 −2x y × 4x × yz 9(k + 9l) −12x ≤ 16.8
Find the gradient of the line. Find the midpoint of the line segment.

113 114 115 Complete the table of values for 116 117 Complete the table of values for 118 The maximum turning point of a 119 120
y = 2x + 5. y = 6x − 3x + 12.
A fibonacci sequence begins: Find the n term rule for the
th

Solve: Solve: 2
quadratic curve is (15, -13).
200 + 106+? = 400 ▢, ▢, ▢, ▢, 8, ▢, ▢, 34, ▢, ▢, ... sequence:
−12x + 12 ≤ −132 −4 − 5x > −39 + 2x Write an equation for this in the form:
Find the 10th term.
x 1 2 3 4 5 6 x 0 1 2 3 4 5

y y
y = -x² + ax + b. 8, 7, 6, 5, . . .

121 122 123 124 125 126 Find the area of this circle. 127 Find the circumference of this circle. 128

The n th
term of a sequence is given by the A geometric sequence begins:
Find the n th
term rule for the sequence: Find the next term in this sequence: n
th
term = n
2
+ 5n 2 cm 8 cm
rule −n − 4n.
2
▢, ▢, ▢, -3, ▢, -0.1875, ... Convert 129.6 minutes to days
−14, −34, −66, −110, . . . −17.6, − 32.6, − 49.6, − 68.6, ? List the first five terms of the sequence. Find the 5th term.
Find the 19th term of the sequence.

Round your answer to 1d.p. Give your answer in terms of π.

129 130 131 132 133 Add together: 134 135 136 A line segment passes from (30, 21) to
Convert 5.8 m to mm Convert 2.4 km to cm Convert 3.6 l to ml Convert 5.6 kg to mg five 1p's, two 2p's, one 5p, one 10p, four How many £2 coins are in £766.00? How many sides does a dodecagon have? (4, −17).

20p's, one £1, and one £2. Find the length of the line segment.

137 Calculate the length 𝑥. 138 Calculate the area of the triangle. 139 Calculate the length 𝑥. 140 Calculate the perimeter of the triangle. 141 142 Find the missing angle 𝑥. 143 Calculate the missing length 𝑥. 144 Calculate the area of the triangle.

5.8 𝑥 14.8 An object travels 1487.5 km in 35 h. 3 4.7

𝑥
14.3
17 13.5 What speed was it travelling? 8.6 𝑥 𝑥
8.5

𝑥° 70.3° 71.6°

3.5 18 7

145 Calculate the perimeter of the triangle. 146 147 148 149 150 151 152

An amount of 3480 is increased by

𝑥
1
of an amount is 15. An amount was decreased from 60 to 39. What would you multiply by to decrease 34.5% every week.
Write 1.27 as a percentage.
50
Decrease 22 by 66% Find 51% of 3
What is 150%? Work out the percentage decrease. an amount by 80%? How much will it be worth after 12
weeks?
68.2°

5.6

153 154 155 Alixe and Nicola share sweets in the ratio 156 157 158 159 160
10 : 13. An amount was shared in the ratio Natalia, Heben and Sara shared some An amount was shared in the ratio
An amount was increased by 14% to The ratio of m to n is 6 : 5. 1 : 12 : 3 : 10. money in the ratio 10 : 2 : 8. 12 : 10 : 8 : 8.
19 chocolate bars costs £6.65. If Alixe then gives Nicola 3 sweets then The ratio of n to o is 16 : 17.
125.4. Share 216 in the ratio 6 : 8 : 9 : 1
How much would 37 chocolate bars cost? the ratio becomes 9 : 14. The largest share was 24. Natalia gets £64 more than Heben. The largest share was 156.
What was the original amount? Find the ratio m : n : o in its simplest form.
How many sweets did they each have What was the total amount shared? How much does Heben receive? What was the total amount shared?
initially?

161 162 The ratio of yellow to green to orange to 163 164 165 A fair 6 sided spinner labelled 1 to 6 is spun. 166 167 168
Simplify fully A fair six sided dice is rolled 12 times. How Find the mode of: Find the mean of: Find the median of:
purple counters in a bag is 4 : 19 : 16 : 12. Write the ratio 5.4 : 9 in the form n : 1 . What is the probability of spinning a number
30 : 70 : 170 : 70 many times would you expect to roll a 1? -7.7, -2.2, -6.5, -5.8, -7.1, -0.5 -4.5, -4.2, -4.6, -2.5, -1.1, -3.5 -2.3, -3.9, -0.3, -3.5, -1.1, -2.2
What fraction of the counters are purple? more than 4?
169 Find the mode of: 170 Find the range of: 171 172 173 174 175 176
9.57 + 0.00243 3255 + 6766 238 ÷ 35 16065 ÷ 119 7.8 × 0.31 113 × 113
-8, -5.4, -7.6, -7, -3.2, -7.9, -7.6 −0.3, − 1.3, − 6.1, − 6.7, − 8.4, − 1.9

177 178 179 180 181 A number, x, is rounded to the nearest 182 183 184
0.005. Find the difference between: Calculate: Calculate:
0.0598 − 0.00694 7168 − 6017 0.99 − 0.00196 102 × 110
The result is 0.12. -8.8 and 14. (−9) + (−10) + 1 − (−11) + 15 + (−16) (−7) + 15 + 20 + (−15) + 20

Write down the error interval for x.

185 186 187 188 189 The temperature decreased by 5°C from 190 191 192
Rewrite this calculation as a sum. Calculate:
Find the difference between -45 and 27. 1296 ÷ − 36 −594 ÷ − 33 −20 × − 31 6.6°C. Double 929.4.
13 + (−8) + (−1) + 15 − (−20) 20 − 11 − (−7) − (−8) − (−3)
What is the new temperature?

193 194 195 196 197 Write 1.20696969. . as a fraction. 198 Given that 3

25
= 0.12 . 199 200
List all the factors of 246. Write 1.11 as a fraction. Write 14
as a percentage. Write 177% as a decimal. 4
7
+ 3
3
+ 2
4 5
+
5
+
5

25
Simplify your answer where possible. What is 28
as a decimal? 14 8 9 9 12 11

25

201 Write 432

19
as a mixed number. 202 Write 14 14

17
as an improper fraction. 203 1
4

8
÷ 2
3

9
÷ 1
8

9
204 6

9
÷
1

7
÷
8

13
205 10
8
×
4

7
÷
1

2
206 Decrease 90 by 1 1

5
207 List all the integers between −7

5
and 15

12
208 8

10
×
5

9
×
4

209 210 211 3

2
of an amount is 675. 212 213 214 215 216 Simplify
1
7
× 1
1
× 2
8
4 1
of 4 Simplify fully 72
4
6
− 4
1
− 2
6 7
−
4
−
7
Find half of 49.3.
14 3 14 2
What is 1

50
? 136 15 10 9 8 7 13
27
3
÷ 9
4

217 218 Simplify 219 220 221 222 223 224 140 % of an amount is 532.
Write (64 as a single power of 2. Write (64 as a single power of 4. Write down the 11th multiple of 16.
9 5 −1 6
) ) 4856 + 9998 7 − 6 + 3 − 9 + 16 − 13 + 16 7 × 8 ÷ 4 × 20 ÷ 12 × 36 ÷ 5
4
−5
× 16
7
What is 150%?

225 226 Write in ascending order: 227 2.7

2
= 7.29 228 2 229 Simplify fully 230 231 Find three consecutive integers that have a 232 Express 3872 as the product of its
81.36 × 100 27
−
3
Work out 2 7

product of −504. prime factors.

−0.05, −22, −2.4, −12 Work out 27 2
√ 700 + √252

233 234 235 236 237 238 239 240

2 4 2
A = 2 × 3 A = 2 × 7

4 2 2 Rationalise the denominator and

B = 2 × 3 B = 2 × 23
Find the highest common factor of 585, 180 Find the lowest common multiple of 60, 96 simplify
2 2 How many factors does 2025 have? 2 162 × ? = 99 × 198 √ 12 × √252
C = 2 × 3 × 13 and 135. C = 2 × 3 × 5 and 36. 34 + √14

Find the highest common factor of A, B Find the lowest common multiple of A, B √6

and C. and C.

241 Is 45
a terminating or recurring 242 243 244 245 246 247 248
160
Simplify √3000 Round 24903.3 to the nearest 10000 Round 15643 to 3 significant figures Round 6.91514 to 5 decimal places (1 × 10
−8
) + (1.6 × 10
−3
) Write 5.1 × 10 −1
as an ordinary number. Write 0.43 × 10 in standard form.
4

decimal?

249 250 251 252 253 Complete the table of values for 254 255 256
−8 −8 −35 −15 −4 −5
A circle has centre (-0.8, -21) and radius 9. y = −x − 6x + 9.
3
If 20x = 361 , Solve: Solve:
(3.8 × 10 ) ÷ (2 × 10 ) (1.8 × 10 ) × (1 × 10 ) (7 × 10 ) − (1 × 10 )
then −20(x + 1)
x
State the equation of the circle. x 2 3 4 5 6 7 = ?
4
= 10 15 : 6 = 20 : x
y

257 −14x + 1.7y = 29.23 258 Solve: 259 Solve: 260 Solve: 261 Solve: 262 Solve: 263 Solve: 264 Solve:
2 2 x
9.9x − 16y = −19.19 x − 5x + 6 = 0 8x − 2x − 15 = 0 −1.9 = x − 0.7 6 = 12 + 4(−5x − 9) = −4(10x − 15) −2(12x − 8) = 232 12x + 10.2 = 6x − 3
−7
265 266 2 2
267 Simplify fully 268 Write 4x 2
− 40x + 8 in the form 269 Expand and simplify 270 Expand and simplify 271 Expand and simplify 272 Expand:
2
8x +14y +32xy−36y−18
−6x +19x−15

3x−5 2x+7y+3 2 2 2
a(x + b)
2
+ c , where a, b and c are
−12xy − 14xy + z − z + 12z (x − 4)(−x + 13) (−2x − 8)(3x + 11) 2(11x − 2) − 4(5x − 2) 8(5x + 2 + 3)
constants.

273 Factorise fully: 274 Factorise: 275 Factorise: 276 Simplify fully 277 If o = −8 and p = −14 , work out: 278 279 280 A straight line passes through the points
? 🠊 ÷2 🠊 +6 🠊 ×0 🠊 ÷8 🠊 0 6 🠊 −-8 🠊 +8 🠊 +2 🠊 ×-1 🠊 ? (24, 25) and (-4.5, -26).
2 2 2 2 2 2
24xy + 60x y − 132x −x − 17x − 42 −3x − 9x + 30 −6x y × − 7x × yz 2(9o − 10p)
Find the gradient of the line.

281 282 283 284 285 Complete the table of values for 286 287 Complete the table of values for 288 The maximum turning point of a
A line segment passes from (-18, -21) to Solve: Solve: Solve: y = −4x + 2. y = x − 2x + 8.
2

(7.5, 14). quadratic curve is (15, -16).

1000 + 176+? = 2000
−1.5
≤ 3 12x − 1 > −5.8 −9x − 3 > −8x x −1 0 1 2 3 4 x −4 −3 −2 −1 0 1 Write an equation for this in the form:
Find the midpoint of the line segment. x
y y = -x² + ax + b.
y

289 290 291 292 293 294 295 296 Find the area of this circle.

A fibonacci sequence begins: The nth

term of a sequence is given by the A geometric sequence begins:
Find the n th
term rule for the sequence: Find the nth
term rule for the sequence: Find the next term in this sequence: n
th
term = 2n
2
+ 4n − 14 4 cm
▢, ▢, ▢, -10, ▢, -25, ▢, ... rule 5n + 3n − 1.
2
▢, ▢, ▢, 1, 0.25, ▢, ▢, ...
Find the 7th term. 3.1, 2.2, 1.3, 0.4, . . . 6, 22, 45, 75, . . . −18.2, − 37.2, − 66.2, − 105.2, ? List the first five terms of the sequence. Find the 7th term.
Find the 11th term of the sequence.

Round your answer to 1d.p.

297 Find the circumference of this circle. 298 299 300 301 302 303 304

Add together:
2m
Convert 18 days to seconds Convert 800 mm to km Convert 590 mm to km Convert 4 l to ml Convert 2.7 tonnes to mg four 1p's, two 2p's, three 10p's, one 50p, How many 2p coins are in £5.52?
two £1's, and four £2's.

Give your answer in terms of π.

305 306 307 Calculate the length 𝑥. 308 Calculate the area of the triangle. 309 Calculate the length 𝑥. 310 Calculate the perimeter of the triangle. 311 312 Find the missing angle 𝑥.

A line segment passes from (14.5, 50) to

How many sides does a triacontagon (5, 25). 7.9 𝑥 5.3 An object travels at 37.5 m/s for 1031.25 m.
have? 𝑥 12.5 4.75 How long did it take?
Find the length of the line segment. 2.71 14.5
1.25
𝑥°

3.2 7.5 17

313 Calculate the missing length 𝑥. 314 Calculate the area of the triangle. 315 Calculate the perimeter of the triangle. 316 317 318 319 320

199 % of an amount is 199. An amount was decreased from 96 to

𝑥 What would you multiply by to find 51%
Write 5.91 as a fraction. 60. Decrease 23 by 139%
What is 3
? of an amount?
8 2 Work out the percentage decrease.
𝑥

58° 59° 20.4°

𝑥 15 7

321 322 323 324 325 Detorie and Heidi share sweets in the ratio 326 327 328
11 : 6. The ratio of o to p is 7 : 14. An amount was shared in the ratio Aleema, Raheem and Noor shared
An amount of 3740 is increased by 9.4% An amount was increased by 151% to The ratio of p to q is 5 : 13. 6 : 2 : 2 : 2. some money in the ratio 1 : 10 : 13.
19 pens costs £10.45. If Detorie then gives Heidi 36 sweets then
Find 154% of 34 every week. 376.5.
How much would 32 pens cost? the ratio becomes 8 : 9. Find the ratio o : p : q in its simplest The largest share was 30. Raheem gets £18 less than Noor.
How much will it be worth after 11 weeks? What was the original amount?
How many sweets did they each have form. What was the total amount shared? How much does Raheem receive?
initially?
329 330 331 332 The ratio of orange to purple to pink to 333 334 335 336
Simplify fully black counters in a bag is 23 : 22 : 18 : 16 A fair six sided dice is rolled 324 times.
A fair coin is flipped twice. What is the Find the mean of:
Share 246 in the ratio 9 : 12 : 12 : 8 Share 360 in the ratio 2 : 13 : 11 : 10
. Write the ratio 9 : 9 in the form 1 .
: n How many times would you expect to
198 : 36 : 342 : 198 : 54 probability of getting two heads? -0.4, 3.1, 5.5, 5.5, 1, 2.9, 2
roll a 6?
What fraction of the counters are pink?

337 Find the mean of: 338 Find the median of: 339 Find the mode of: 340 Find the range of: 341 342 343 344
0.0021 + 0.00595 80010 + 24916 16.5 ÷ 3.3 28644 ÷ 186
-5.1, 5.2, -0.5, 3.1, 3.4, -3.4, 2.9 -0.9, -2.2, 5, 3.7, 4.6, 3, 3.5, -1.8 6.1, -2.5, 7.3, 5.9, 7.7, 1.6, 1.9, 5.9 2.5, 7.5, 0.9, − 7.3, 4, − 4.4, − 5.8

345 346 347 348 349 350 351 A number, x, is rounded to the nearest 0.5. 352
Find the difference between:
1.21 × 0.34 182 × 157 8.38 − 0.067 21324 − 20293 681.6 ÷ 48 77222 + 67074 The result is 12.
24.2 and -6.
Write down the error interval for x.

353 354 355 356 357 358 359 The temperature decreased by 8°C from 360
Calculate: Calculate: Calculate: Rewrite this calculation as a sum.
Find the difference between -63 and 90. −259.2 ÷ 24 −36 × − 33 -29.7°C.
4 + 17 − 14 + (−21) − (−14) − 13 3 + (−11) + 9 + (−13) + 14 18 − 14 − (−20) − (−13) − (−14) (−7) − 7 − 10 + (−18) − (−22)
What is the new temperature?

361 Calculate: 362 363 364 365 366 367 Write 0.55633333. . as a fraction. 368 Given that 21

125
= 0.168 .
Double 22.718. List all the factors of 724. Write 3.99 as a percentage. Write 2 43
as a decimal. Write 271% as a decimal.
(−12) − 22 − 5 − 16 − (−23) 100
Simplify your answer where possible. What is 104

125
as a decimal?

369 5
2

7
+ 4
4

16
+ 5
8

20
370 1

2
+
6

15
+
13
7
371 Write 203

20
as a mixed number. 372 Write 28 4

29
as an improper fraction. 373 3
2

6
÷ 1
2

7
÷ 2
2

5
374 4

6
÷
3

7
÷
8

16
375 2

5
−
2

6
−
5

8
376 Increase 48 by 3 5

377 List all the integers between −10

and 378 379 380 381
3

2
of an amount is 450. 382 383 384
−39
4 9
×
1
×
1
1
10
× 2
10
× 1
10
2 3
of 96 Simplify fully 36
2
5
− 2
8
− 2
4 5
−
2
−
1

8
14 7 2 13 18 17 8
What is 1

50
? 96 9 15 8 11 6 6

385 386 Simplify 387 Simplify 388 Simplify 389 390 391 392
Find half of 4.76. Write (8 as a single power of 2. Write down the 15th multiple of 62.
−9 7
) 2723 + 10003 8 − 18 + 23 − 7 + 19 − 1 + 7
4 3 −7 −5 7 7
2 ÷ 4 4 × 64 3 × 9

393 394 150 % of an amount is 1200. 395 396 Write in descending order: 397 2
2
= 4 398 1 399 Simplify fully 400
3 × 44 ÷ 2 × 6 ÷ 4 × 12 ÷ 11 4.9769 ÷ 10000 243
−
5
Work out 2 4
×3×7
2

What is 2%? 0, −0.14, −19, −0.29 Work out 0.02 2

√ 891 + √ 1100

401 402 403 A = 2

4
× 11 404 405 406 A = 2
4
× 11 407 408
2
B = 5 × 11 B = 3 × 11
Find three consecutive integers that have Express 648 as the product of its prime Find the highest common factor of 136, 8 Find the lowest common multiple of 95, 110
How many factors does 11664 have? 360 × ? = 150 × 432
a product of −9240. factors. C = 11
and 48. C = 5 × 11 and 20.
Find the highest common factor of A, B Find the lowest common multiple of A,
and C. B and C.

409 410 Rationalise the denominator and simplify 411 412 413 414 415 416
Is 137
a terminating or recurring
√112 × √539 55 − √ 55
4800
Simplify √1680 Round 9323619 to the nearest 100000 Round 0.515075 to 3 significant figures Round 0.0513334 to 4 decimal places (9 × 10
−6
) + (1.2 × 10
−2
)

√ 55
decimal?

417 418 419 420 421 422 423 Complete the table of values for 424
A circle has centre (2.6, -1.6) and radius If 22x ,
y = −5x − 7x − x + 2.
3 2
= 247
Write 5.1 × 10 −2
as an ordinary number. Write 250000 × 10 in standard form.
0
(1.12 × 10
−18
) ÷ (7 × 10
−8
) (4 × 10
−29
) × (1.6 × 10
−13
) (3 × 10
−1
) − (1 × 10
−7
) 31.
x 3 4 5 6 7 8 then −22(x + 1) = ?
State the equation of the circle.
y
425 Solve: 426 Solve: 427 −10.3x + 15.1y = 12.09 428 Solve: 429 Solve: 430 Solve: 431 Solve: 432 Solve:
40 x
2 2
−5x − 2 = 4x + 7 8x : 12 = 2 : 6 −19.7x + 21.6y = 28.22 −x + 12x − 36 = 0 −3x − 29x − 56 = 0 = 50 1 = − 9 −12(−x − 20) = −4(−x + 20)
x −2

433 Solve: 434 Solve: 435 436 2 2

437 Simplify fully 438 Write −2x 2
+ 28x + 6 in the form 439 Expand and simplify 440 Expand and simplify
2
7x −35y −28xy−42x−42y
−6x −21x−15

−3x−3 7x+7y
2
a(x + b) + c , where a, b and c are
−13(−11 − 7x) = −403 −x − 10.2 = 2x − 6 −2x − 3z + y + 13x − 5z (x + 13)(−x + 13) (−2x − 15)(x − 9)
constants.

441 Expand and simplify 442 Expand: 443 Factorise fully: 444 Factorise: 445 Factorise: 446 Simplify fully 447 If f = −1.1 and g = −0.4 , evaluate: 448
2 3
? 🠊 −-7 🠊 ×4 🠊 −7 🠊 ÷-2 🠊 -10.5
4 6 6 5 4 2 2 2
3(6x − 2y) − 5(3x − 5y) 13(7xy − 3x + 17y ) 26x y + 39x y + 169x y −x − 3x + 180 6x − 69x + 195 5x y × 5x × yz 7f g

449 450 A straight line passes through the points (34,

5 🠊 ×8 🠊 −0 🠊 +8 🠊 ÷-8 🠊 ? 12) and (-14, -11).
Find the gradient of the line.