Grade 5 Mathematics Annual Revision Paper 3 (Q& A) • Teacha! - Free Printable
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Step-by-step solution for: Grade 5 Mathematics Annual Revision Paper 3 (Q& A) • Teacha!
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Step-by-step solution for: Grade 5 Mathematics Annual Revision Paper 3 (Q& A) • Teacha!
Problem Overview:
The image contains three sections:
1. Division Problems: Simple division of integers.
2. Converting Improper Fractions to Mixed Fractions.
3. Converting Mixed Fractions to Improper Fractions.
I will solve each section step by step.
---
Section 1: Division Problems
#### Problem 323: \( 2375 \div 95 \)
- Perform the division:
\[
2375 \div 95 = 25
\]
- Answer: \( 25 \)
#### Problem 324: \( 2072 \div 37 \)
- Perform the division:
\[
2072 \div 37 = 56
\]
- Answer: \( 56 \)
#### Problem 325: \( 2479 \div 67 \)
- Perform the division:
\[
2479 \div 67 = 37
\]
- Answer: \( 37 \)
#### Problem 326: \( 760 \div 19 \)
- Perform the division:
\[
760 \div 19 = 40
\]
- Answer: \( 40 \)
#### Problem 327: \( 4992 \div 52 \)
- Perform the division:
\[
4992 \div 52 = 96
\]
- Answer: \( 96 \)
#### Problem 328: \( 2635 \div 85 \)
- Perform the division:
\[
2635 \div 85 = 31
\]
- Answer: \( 31 \)
#### Problem 329: \( 3705 \div 95 \)
- Perform the division:
\[
3705 \div 95 = 39
\]
- Answer: \( 39 \)
#### Problem 330: \( 310 \div 31 \)
- Perform the division:
\[
310 \div 31 = 10
\]
- Answer: \( 10 \)
#### Problem 331: \( 324 \div 9 \)
- Perform the division:
\[
324 \div 9 = 36
\]
- Answer: \( 36 \)
#### Problem 332: \( 2176 \div 68 \)
- Perform the division:
\[
2176 \div 68 = 32
\]
- Answer: \( 32 \)
#### Problem 333: \( 511 \div 73 \)
- Perform the division:
\[
511 \div 73 = 7
\]
- Answer: \( 7 \)
#### Problem 334: \( 2226 \div 42 \)
- Perform the division:
\[
2226 \div 42 = 53
\]
- Answer: \( 53 \)
#### Problem 335: \( 945 \div 27 \)
- Perform the division:
\[
945 \div 27 = 35
\]
- Answer: \( 35 \)
#### Problem 336: \( 204 \div 68 \)
- Perform the division:
\[
204 \div 68 = 3
\]
- Answer: \( 3 \)
---
Section 2: Converting Improper Fractions to Mixed Fractions
#### Problem 337: \( \frac{34}{5} \)
- Divide the numerator by the denominator:
\[
34 \div 5 = 6 \text{ remainder } 4
\]
- Write as a mixed fraction:
\[
\frac{34}{5} = 6 \frac{4}{5}
\]
- Answer: \( 6 \frac{4}{5} \)
#### Problem 338: \( \frac{10}{4} \)
- Simplify the fraction first:
\[
\frac{10}{4} = \frac{5}{2}
\]
- Divide the numerator by the denominator:
\[
5 \div 2 = 2 \text{ remainder } 1
\]
- Write as a mixed fraction:
\[
\frac{5}{2} = 2 \frac{1}{2}
\]
- Answer: \( 2 \frac{1}{2} \)
#### Problem 339: \( \frac{29}{6} \)
- Divide the numerator by the denominator:
\[
29 \div 6 = 4 \text{ remainder } 5
\]
- Write as a mixed fraction:
\[
\frac{29}{6} = 4 \frac{5}{6}
\]
- Answer: \( 4 \frac{5}{6} \)
#### Problem 340: \( \frac{10}{3} \)
- Divide the numerator by the denominator:
\[
10 \div 3 = 3 \text{ remainder } 1
\]
- Write as a mixed fraction:
\[
\frac{10}{3} = 3 \frac{1}{3}
\]
- Answer: \( 3 \frac{1}{3} \)
#### Problem 341: \( \frac{6}{4} \)
- Simplify the fraction first:
\[
\frac{6}{4} = \frac{3}{2}
\]
- Divide the numerator by the denominator:
\[
3 \div 2 = 1 \text{ remainder } 1
\]
- Write as a mixed fraction:
\[
\frac{3}{2} = 1 \frac{1}{2}
\]
- Answer: \( 1 \frac{1}{2} \)
#### Problem 342: \( \frac{18}{5} \)
- Divide the numerator by the denominator:
\[
18 \div 5 = 3 \text{ remainder } 3
\]
- Write as a mixed fraction:
\[
\frac{18}{5} = 3 \frac{3}{5}
\]
- Answer: \( 3 \frac{3}{5} \)
#### Problem 343: \( \frac{34}{4} \)
- Simplify the fraction first:
\[
\frac{34}{4} = \frac{17}{2}
\]
- Divide the numerator by the denominator:
\[
17 \div 2 = 8 \text{ remainder } 1
\]
- Write as a mixed fraction:
\[
\frac{17}{2} = 8 \frac{1}{2}
\]
- Answer: \( 8 \frac{1}{2} \)
#### Problem 344: \( \frac{55}{6} \)
- Divide the numerator by the denominator:
\[
55 \div 6 = 9 \text{ remainder } 1
\]
- Write as a mixed fraction:
\[
\frac{55}{6} = 9 \frac{1}{6}
\]
- Answer: \( 9 \frac{1}{6} \)
#### Problem 345: \( \frac{47}{8} \)
- Divide the numerator by the denominator:
\[
47 \div 8 = 5 \text{ remainder } 7
\]
- Write as a mixed fraction:
\[
\frac{47}{8} = 5 \frac{7}{8}
\]
- Answer: \( 5 \frac{7}{8} \)
#### Problem 346: \( \frac{29}{3} \)
- Divide the numerator by the denominator:
\[
29 \div 3 = 9 \text{ remainder } 2
\]
- Write as a mixed fraction:
\[
\frac{29}{3} = 9 \frac{2}{3}
\]
- Answer: \( 9 \frac{2}{3} \)
#### Problem 347: \( \frac{39}{5} \)
- Divide the numerator by the denominator:
\[
39 \div 5 = 7 \text{ remainder } 4
\]
- Write as a mixed fraction:
\[
\frac{39}{5} = 7 \frac{4}{5}
\]
- Answer: \( 7 \frac{4}{5} \)
#### Problem 348: \( \frac{31}{4} \)
- Divide the numerator by the denominator:
\[
31 \div 4 = 7 \text{ remainder } 3
\]
- Write as a mixed fraction:
\[
\frac{31}{4} = 7 \frac{3}{4}
\]
- Answer: \( 7 \frac{3}{4} \)
#### Problem 349: \( \frac{27}{4} \)
- Divide the numerator by the denominator:
\[
27 \div 4 = 6 \text{ remainder } 3
\]
- Write as a mixed fraction:
\[
\frac{27}{4} = 6 \frac{3}{4}
\]
- Answer: \( 6 \frac{3}{4} \)
#### Problem 350: \( \frac{53}{6} \)
- Divide the numerator by the denominator:
\[
53 \div 6 = 8 \text{ remainder } 5
\]
- Write as a mixed fraction:
\[
\frac{53}{6} = 8 \frac{5}{6}
\]
- Answer: \( 8 \frac{5}{6} \)
#### Problem 351: \( \frac{79}{8} \)
- Divide the numerator by the denominator:
\[
79 \div 8 = 9 \text{ remainder } 7
\]
- Write as a mixed fraction:
\[
\frac{79}{8} = 9 \frac{7}{8}
\]
- Answer: \( 9 \frac{7}{8} \)
#### Problem 352: \( \frac{40}{6} \)
- Simplify the fraction first:
\[
\frac{40}{6} = \frac{20}{3}
\]
- Divide the numerator by the denominator:
\[
20 \div 3 = 6 \text{ remainder } 2
\]
- Write as a mixed fraction:
\[
\frac{20}{3} = 6 \frac{2}{3}
\]
- Answer: \( 6 \frac{2}{3} \)
#### Problem 353: \( \frac{33}{4} \)
- Divide the numerator by the denominator:
\[
33 \div 4 = 8 \text{ remainder } 1
\]
- Write as a mixed fraction:
\[
\frac{33}{4} = 8 \frac{1}{4}
\]
- Answer: \( 8 \frac{1}{4} \)
#### Problem 354: \( \frac{11}{3} \)
- Divide the numerator by the denominator:
\[
11 \div 3 = 3 \text{ remainder } 2
\]
- Write as a mixed fraction:
\[
\frac{11}{3} = 3 \frac{2}{3}
\]
- Answer: \( 3 \frac{2}{3} \)
#### Problem 355: \( \frac{14}{8} \)
- Simplify the fraction first:
\[
\frac{14}{8} = \frac{7}{4}
\]
- Divide the numerator by the denominator:
\[
7 \div 4 = 1 \text{ remainder } 3
\]
- Write as a mixed fraction:
\[
\frac{7}{4} = 1 \frac{3}{4}
\]
- Answer: \( 1 \frac{3}{4} \)
#### Problem 356: \( \frac{21}{4} \)
- Divide the numerator by the denominator:
\[
21 \div 4 = 5 \text{ remainder } 1
\]
- Write as a mixed fraction:
\[
\frac{21}{4} = 5 \frac{1}{4}
\]
- Answer: \( 5 \frac{1}{4} \)
---
Section 3: Converting Mixed Fractions to Improper Fractions
#### Problem 357: \( 9 \frac{6}{8} \)
- Convert to an improper fraction:
\[
9 \frac{6}{8} = \frac{(9 \times 8) + 6}{8} = \frac{72 + 6}{8} = \frac{78}{8}
\]
- Simplify the fraction:
\[
\frac{78}{8} = \frac{39}{4}
\]
- Answer: \( \frac{39}{4} \)
#### Problem 358: \( 5 \frac{1}{5} \)
- Convert to an improper fraction:
\[
5 \frac{1}{5} = \frac{(5 \times 5) + 1}{5} = \frac{25 + 1}{5} = \frac{26}{5}
\]
- Answer: \( \frac{26}{5} \)
#### Problem 359: \( 9 \frac{4}{8} \)
- Simplify the fractional part first:
\[
\frac{4}{8} = \frac{1}{2}
\]
- Convert to an improper fraction:
\[
9 \frac{1}{2} = \frac{(9 \times 2) + 1}{2} = \frac{18 + 1}{2} = \frac{19}{2}
\]
- Answer: \( \frac{19}{2} \)
#### Problem 360: \( 3 \frac{2}{4} \)
- Simplify the fractional part first:
\[
\frac{2}{4} = \frac{1}{2}
\]
- Convert to an improper fraction:
\[
3 \frac{1}{2} = \frac{(3 \times 2) + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2}
\]
- Answer: \( \frac{7}{2} \)
#### Problem 361: \( 3 \frac{7}{8} \)
- Convert to an improper fraction:
\[
3 \frac{7}{8} = \frac{(3 \times 8) + 7}{8} = \frac{24 + 7}{8} = \frac{31}{8}
\]
- Answer: \( \frac{31}{8} \)
#### Problem 362: \( 1 \frac{2}{3} \)
- Convert to an improper fraction:
\[
1 \frac{2}{3} = \frac{(1 \times 3) + 2}{3} = \frac{3 + 2}{3} = \frac{5}{3}
\]
- Answer: \( \frac{5}{3} \)
#### Problem 363: \( 9 \frac{7}{8} \)
- Convert to an improper fraction:
\[
9 \frac{7}{8} = \frac{(9 \times 8) + 7}{8} = \frac{72 + 7}{8} = \frac{79}{8}
\]
- Answer: \( \frac{79}{8} \)
#### Problem 364: \( 5 \frac{2}{6} \)
- Simplify the fractional part first:
\[
\frac{2}{6} = \frac{1}{3}
\]
- Convert to an improper fraction:
\[
5 \frac{1}{3} = \frac{(5 \times 3) + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3}
\]
- Answer: \( \frac{16}{3} \)
#### Problem 365: \( 6 \frac{3}{5} \)
- Convert to an improper fraction:
\[
6 \frac{3}{5} = \frac{(6 \times 5) + 3}{5} = \frac{30 + 3}{5} = \frac{33}{5}
\]
- Answer: \( \frac{33}{5} \)
#### Problem 366: \( 4 \frac{1}{3} \)
- Convert to an improper fraction:
\[
4 \frac{1}{3} = \frac{(4 \times 3) + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3}
\]
- Answer: \( \frac{13}{3} \)
#### Problem 367: \( 8 \frac{3}{8} \)
- Convert to an improper fraction:
\[
8 \frac{3}{8} = \frac{(8 \times 8) + 3}{8} = \frac{64 + 3}{8} = \frac{67}{8}
\]
- Answer: \( \frac{67}{8} \)
#### Problem 368: \( 7 \frac{2}{5} \)
- Convert to an improper fraction:
\[
7 \frac{2}{5} = \frac{(7 \times 5) + 2}{5} = \frac{35 + 2}{5} = \frac{37}{5}
\]
- Answer: \( \frac{37}{5} \)
#### Problem 369: \( 7 \frac{2}{3} \)
- Convert to an improper fraction:
\[
7 \frac{2}{3} = \frac{(7 \times 3) + 2}{3} = \frac{21 + 2}{3} = \frac{23}{3}
\]
- Answer: \( \frac{23}{3} \)
#### Problem 370: \( 3 \frac{1}{8} \)
- Convert to an improper fraction:
\[
3 \frac{1}{8} = \frac{(3 \times 8) + 1}{8} = \frac{24 + 1}{8} = \frac{25}{8}
\]
- Answer: \( \frac{25}{8} \)
#### Problem 371: \( 8 \frac{1}{3} \)
- Convert to an improper fraction:
\[
8 \frac{1}{3} = \frac{(8 \times 3) + 1}{3} = \frac{24 + 1}{3} = \frac{25}{3}
\]
- Answer: \( \frac{25}{3} \)
#### Problem 372: \( 8 \frac{3}{6} \)
- Simplify the fractional part first:
\[
\frac{3}{6} = \frac{1}{2}
\]
- Convert to an improper fraction:
\[
8 \frac{1}{2} = \frac{(8 \times 2) + 1}{2} = \frac{16 + 1}{2} = \frac{17}{2}
\]
- Answer: \( \frac{17}{2} \)
#### Problem 373: \( 4 \frac{4}{5} \)
- Convert to an improper fraction:
\[
4 \frac{4}{5} = \frac{(4 \times 5) + 4}{5} = \frac{20 + 4}{5} = \frac{24}{5}
\]
- Answer: \( \frac{24}{5} \)
#### Problem 374: \( 5 \frac{2}{3} \)
- Convert to an improper fraction:
\[
5 \frac{2}{3} = \frac{(5 \times 3) + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3}
\]
- Answer: \( \frac{17}{3} \)
#### Problem 375: \( 3 \frac{3}{5} \)
- Convert to an improper fraction:
\[
3 \frac{3}{5} = \frac{(3 \times 5) + 3}{5} = \frac{15 + 3}{5} = \frac{18}{5}
\]
- Answer: \( \frac{18}{5} \)
#### Problem 376: \( 6 \frac{1}{3} \)
- Convert to an improper fraction:
\[
6 \frac{1}{3} = \frac{(6 \times 3) + 1}{3} = \frac{18 + 1}{3} = \frac{19}{3}
\]
- Answer: \( \frac{19}{3} \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
\text{Division Problems:} & \\
323. & 25 \\
324. & 56 \\
325. & 37 \\
326. & 40 \\
327. & 96 \\
328. & 31 \\
329. & 39 \\
330. & 10 \\
331. & 36 \\
332. & 32 \\
333. & 7 \\
334. & 53 \\
335. & 35 \\
336. & 3 \\
\\
\text{Improper to Mixed:} & \\
337. & 6 \frac{4}{5} \\
338. & 2 \frac{1}{2} \\
339. & 4 \frac{5}{6} \\
340. & 3 \frac{1}{3} \\
341. & 1 \frac{1}{2} \\
342. & 3 \frac{3}{5} \\
343. & 8 \frac{1}{2} \\
344. & 9 \frac{1}{6} \\
345. & 5 \frac{7}{8} \\
346. & 9 \frac{2}{3} \\
347. & 7 \frac{4}{5} \\
348. & 7 \frac{3}{4} \\
349. & 6 \frac{3}{4} \\
350. & 8 \frac{5}{6} \\
351. & 9 \frac{7}{8} \\
352. & 6 \frac{2}{3} \\
353. & 8 \frac{1}{4} \\
354. & 3 \frac{2}{3} \\
355. & 1 \frac{3}{4} \\
356. & 5 \frac{1}{4} \\
\\
\text{Mixed to Improper:} & \\
357. & \frac{39}{4} \\
358. & \frac{26}{5} \\
359. & \frac{19}{2} \\
360. & \frac{7}{2} \\
361. & \frac{31}{8} \\
362. & \frac{5}{3} \\
363. & \frac{79}{8} \\
364. & \frac{16}{3} \\
365. & \frac{33}{5} \\
366. & \frac{13}{3} \\
367. & \frac{67}{8} \\
368. & \frac{37}{5} \\
369. & \frac{23}{3} \\
370. & \frac{25}{8} \\
371. & \frac{25}{3} \\
372. & \frac{17}{2} \\
373. & \frac{24}{5} \\
374. & \frac{17}{3} \\
375. & \frac{18}{5} \\
376. & \frac{19}{3} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of math grade 5.