BECE Mathematics 2023 Paper

Change the mixed fractions to improper fractions.
‌22‌

1

2

=‌

22×2+1

2

‌22‌

1

2

=‌

44+1

2

‌22‌

1

2

=‌

45

2

‌7‌

1

2

=‌

7×2+1

2

‌7‌

1

2

=‌

14+1

2

‌7‌

1

2

=‌

15

2

Total time spent to school =‌

45

2

minutes +‌

15

2

minutes
Total time spent to school =‌

45+15

2

minutes
Total time spent to school =‌

60

2

minutes
Total time spent to school =30 minutes
Method I
The entire minutes spent to school is 100%.
‌‌ If ‌30‌ minutes ‌=100%
‌‌

45

2

‌ minutes ‌=‌

45

2

×100%÷30
2 divides itself once and 100, 50 times.
‌‌

45

2

‌ minutes ‌=‌

45×50%

30

‌‌

45

2

‌ minutes ‌=15×5%
Note: The zero in 50 and 30 cancel each other. 3 divides itself once and 45,15 times.
‌

45

2

‌ minutes ‌=75%

Method II
Percentage =‌

‌ Number ‌

‌ Total ‌

×100%
Percentage ( walking )=‌

45

2

÷30×100%
Every number is being divided by 1
30=‌

30

1

Percentage ( walking )=‌

45

2

÷‌

30

1

×100%
Change the division sign to multiplication and reciprocate the fraction.
‌ Percentage ‌(‌ walking ‌)=‌

45

2

×‌

1

30

×100%
Note: The zero in 30 and 100 cancels each other. 3 divides itself once and 45,15 times. 2 divides itself once and 10, 5 times.
Percentage ( walking )=15×1×5%
Percentage ( walking )=75%