Solve it...! 1

Numeracy problems to solve for Key Stage 1, 2 and 3

 Key Stage 1     Solve it...!     A day in the life of Nyamura

Read about a day in the life of Nyamura. Press on the buttons to watch the hands on the clock face move in time with the story.

I live in Karungu in Kenya with my granny.
My daddy works in Nairobi so he only comes home at weekends.
Granny get up at 6 o'clock to make our breakfast.

I get up at 7 o'clock and eat the ugari granny has made.

I walk to school. It starts at 8 o'clock.

There is another school in the afternoon so I go home at 1 o'clock.

After lunch at 2 o'clock I help my granny. I get water from the tap outside and I help in the garden.

Sometimes neighbours call at 3 o'clock and we all work together sewing school uniforms or mending bicycles.

At 5 o'clock granny starts to make the matoki and uji for our dinner.

At 8 o'clock we light the candles and go to bed.
Granny tells us stories about the Kisumu families.

Kenya is 2 hours ahead of us in time. When granny gets up at 6 o'clock, it is only 4 o'clock in the morning in britain!

What are you doing then? I don't think you'll be awake!!
Print out and fill in the table to show what is happening in Nyamura's day, and what you are doing at that time.

The table is started for you.

 Kenyan Time Nyamura's Day British Time My day 6 o'clock Granny gets up 4 o'clock Were you awake? 7 o'clock Nyamura gets up 5 o'clock Still asleep! 8 o'clock School begins 6 o'clock Are you up yet? 1 o'clock Nyamura finishes school 11 o'clock Have you finished school? 2 o'clock Nyamura helps her granny 12 o'clock Are you at home or school? 3 o'clock Neighbours call 1 o'clock Have you had your school lunch? 5 o'clock Granny starts making dinner 3 o'clock Have you finished school? 8 o'clock Nyamura goes to bed 6 o'clock Are you in bed?

An extra challenge

Daniel lives in New York. Time is 5 hours behind us.
Plan his day and compare it to your day.

 America time Daniel's day British time My day . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

 Key Stage 2 Solve it...!  Which Day?

No doubt, you know the date of your birthday. But do you know the exact day of the week when you were born? Using the tables and method below you can work out which day it was on any date from the beginning of the Christian era (i.e. the year since Christ's birth) up to the year 3 000 AD.

 Table 1: The table for the Months Month Code Month Code January 3 July 2 February 6 August 5 March 6 September 1 April 2 October 3 May 4 November 6 June 0 December 1

 Table 2: The Century Table 00's Code 00's Code 00s 2 1400s 2 100s 1 1500s 1 200s 0 1600s 4 300s 6 1700s 2 400s 5 1800s 0 500s 4 1900s 5 600s 3 2000s 4 700s 2 2100s 2 800s 1 2200s 0 900s 0 2300s 5 1000s 6 2400s 4 1100s 5 2500s 2 1200s 4 2600s 0 1300s 3 2700s 5

 Table 3: Table of days Day Code Day Code Saturday 0 Wednesday 4 Sunday 1 Thursday 5 Monday 2 Friday 6 Tuesday 3

Lets see how this works by finding out on which day of the week was christmas Day 1997.

Step 1 - Write the last 2 digits of the year.
The last two digits in 1997 are 97

Step 2 - Divide this number by 4 and ignore any remainder you get in your answer.
97 divided by 4 = 24 (the remainder is 3 but ignore it)

Step 3 - Add the day of the month i.e. 25

Step 4 - Add the code number for the month from Table 1.
For December the code is 1

Step 5 - Add the code number for century from Table 2
For 1900s the code is 5

Step 6 - The total of all the steps is 97 + 24 + 25 + 1 + 5. This equals 152
Divide this total by 7. 152 + 7 = 21 remainder 5
Check this remainder with its day in table 3

5 means Thursday. So Christmas Day, 1997 was on a Thursday.

Follow the same steps, you can now find out the exact day of the week when you were born.

Now you can impress your family and friends by finding out their date of birth or the date of special events in their life and working out the exact day when they were born or when the special event took place.

Here are some historical events, which have taken place. find out the exact day of the week when they happened.

1. Mary Bryant, her husband William, their 2 Children and 7 other convicts stole a six-oared cutter and went ashore at present day Newcastle, Australia on 30th March 1791. Which day was this? Wednesday, 30th March 1791

2. mary was caught and return to sydney by the ship 'Gorgon' and sentenced to jail indefinitely on 18th March 1792. Sunday, 18th March 1792

3. Mary was granted an unconditional pardon on 2nd May 1793. Thursday, 2nd May 1793

4. Queen Elizabeth II was crowned on 2nd June 1953. Tuesday, 2nd June 1953

5. man first landed on the moon on 24th June 1969. Tuesday, 24th June 1969

6. The first London Marathon took place on 29th March 1981. Sunday, 29th March 1981

 Key Stage 3 Solve it...! Is breakfast always Healthy?

The Department of Health recommends individuals limit the amount of fat in their diet to less than 30% of a day's calories.

The chart below lists some information about fast food breakfasts.

 Total Calories Calories from fat Cholesterol (mg) Sodium (mg) Bacon & Eggs on Toast 470 81 25 1 135 Fried Egg in a Roll 290 99 226 740 Scrambled Egg Platter 710 414 457 1 700 Apple Bran Muffin 190 0 0 230 Apple Cinnamon Danish 390 117 19 305
1. What is the percentage of calories from fat for the 'Fried Egg in a Roll? Approximately 34% of calories from fat in fred egg in a roll.
2. Which of the breakfasts listed above have the highest percentage of calories from fat? Explain. Scrambled egg platter has more than half of its calories from fat (58)!
3. Health authorities now advise limiting sodium (salt) to 3 300 milligrams or less a day. What % of the recommended daily allocation do each of these breakfast foods provide? A. 34.4%, B. 22.4%, C. 51.5%, D. 7.0%, E. 9.2%.
4. Your friend who is on a low sodium diet decides to have both the Apple Bran Muffin and the Apple Cinnamon Danish. What percent of the recommended sodium allotment has she had? The two foods combined have 535mg of sodium which is approximately 16% of the RDA.
5. It is recommended that cholesterol should be limited to 330 milligrams or less a day. A man on a low cholesterol diet has a scrambled egg platter and states 'I have only used up 65% of my cholesterol allotment fro today'. As his doctor, how do you reply? He has exceeded his recommended daily intake of cholesterol by 127g. he has had 38% more than he should have done. What will he eat for the rest of the day!?
6. Another of your patients decided to have the Bacon and Eggs on Toast and an Apple Bran Muffin. Do you consider this combinations a healthy choice? Explain your reasoning.Not a good choice for someone on a low sodium diet as uses up 41% of daily intake, also lots of calories. But would be a good choice for someone on a low cholesterol diet as only uses about 8% of the daily amount allowed.

An extra challenge
Look at the nutritional information on the breakfast foods in your house (bread, milk, cereals, baked beans etc)

How healthy are they?

These problems were sourced by North East Lincolnshire's Numeracy Team

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