DOI Page / Citation link:
https://doi.org/10.11588/diglit.70300#0022
8 KIRB’f’s WONDERFUL MUSEUM.
paid 3s. and each child 4c?. the number of each is required ?
Ans. 5 men, 3 women, and 33 children.
Find three square numbers in arithmetical progression?
The following questions were proposed by me, Samuel
Cooper, 11, Dartmouth-street, Westminster, and answered
mentally by Master George Bidder, a youth only eleven
years of age, April 22, 1818.
What number must be added to 2, 152, and 1202, to make
them three proportionals ? Ans. 23.
If I have 965?. a part of which I vested in the 3 per cents,
and the other in the 4 per cents, at the end of thirteen years
the amount will be 1460?. 6s. allowing simple interest, what
was the sum laid out in each fund? Ans. 915?. in the fours,
and 50?. in the threes.
What two numbers are those, that twice the first, with
three times the second, will make 83, and twice the square
of the first, with three times the square of the second, will
make 1421 ? Ans. 13 and 19.
There are seven numbers in geometrical progression, the
first is 6, and the seventh 705,894 ; what are all the inter-
mediate terms? Ans. 7 the ratio, and the intermediate terms
are 42, 294, 2058, 14,406, and 100,842.
If the circumference of the earth is 25,020 miles, and that
of the moon 6736 miles, and the national debt 900,000,000
of money in halfpence, each to measure one inch in diameter,
how. many times will they encircle the earth and moon?
Ans. 214 times and a fraction.
In a box which I lost was a number of guineas and crown-
pieces, but the only recollection I have of their number is,
that the crown-pieces were seven times the number of gui-
neas, and that the shillings of the whole were 1624; how
many guineas and crowns did I lose ? Ans. 29 guineas, and
203 crowns.
What number is that when divided by 3, 4, and 8, the sum
paid 3s. and each child 4c?. the number of each is required ?
Ans. 5 men, 3 women, and 33 children.
Find three square numbers in arithmetical progression?
The following questions were proposed by me, Samuel
Cooper, 11, Dartmouth-street, Westminster, and answered
mentally by Master George Bidder, a youth only eleven
years of age, April 22, 1818.
What number must be added to 2, 152, and 1202, to make
them three proportionals ? Ans. 23.
If I have 965?. a part of which I vested in the 3 per cents,
and the other in the 4 per cents, at the end of thirteen years
the amount will be 1460?. 6s. allowing simple interest, what
was the sum laid out in each fund? Ans. 915?. in the fours,
and 50?. in the threes.
What two numbers are those, that twice the first, with
three times the second, will make 83, and twice the square
of the first, with three times the square of the second, will
make 1421 ? Ans. 13 and 19.
There are seven numbers in geometrical progression, the
first is 6, and the seventh 705,894 ; what are all the inter-
mediate terms? Ans. 7 the ratio, and the intermediate terms
are 42, 294, 2058, 14,406, and 100,842.
If the circumference of the earth is 25,020 miles, and that
of the moon 6736 miles, and the national debt 900,000,000
of money in halfpence, each to measure one inch in diameter,
how. many times will they encircle the earth and moon?
Ans. 214 times and a fraction.
In a box which I lost was a number of guineas and crown-
pieces, but the only recollection I have of their number is,
that the crown-pieces were seven times the number of gui-
neas, and that the shillings of the whole were 1624; how
many guineas and crowns did I lose ? Ans. 29 guineas, and
203 crowns.
What number is that when divided by 3, 4, and 8, the sum