# Grocott's Mail : 2020-06-26

## Numeracy : 9 : 9

### Numeracy

NUMERACY 9 Grocott’s Mail 26 JUNE 2020 Ssttarrt iin tthe bottttom llefft corrner and move up, down or sideways untii l you Ccoommpple­lete ththeesse nnuumbber ppyyrramii­ds. Ttiime yourself – how quiickly were you able to complete them? te e r . t t tto rreach tthe p to , l fifniniiss­h. Your path needs adduu p to2233.. In a nunmubmebr yrpamyraid­m, eeaach squsqreuai­srequ alequal tto theths umsouf the ssqquuaare­res unudnedren­renaethati t, jujusst lilike ththe eexaxmampl­pe in on the right In a ep r ch o e m s t e in e on the right. . id, the h it, is of le Ffilil in tthe numbers 1-9 so thtahtae aecah rorwow, collumn aannd didaigaogn­oanal a dadsdu put o 1t5 . Each number can onlly beuussee doonnccee.. l in –9 so l t s d ch , p o 15. d Rreemmoovv­eeeexxaacc­ttlyly1 diigiit from each ininccoorr­rereccttee­qquuattioi­onss sso that they become ccoorrrere­cct.t. of tthesse Can you solve each of these number puzzles. The aim is to rearrange the numbers and mathematic­al operations to give you the answer. Ccaan yyoou uusse eeaach of tthhesse matthemati­cal ooppeerara­ttioions to jojoin a ppaair of numbers? Eeaacch nnuumbber annd each operratiio­n should bbe uusseed onlly once. For example, you could use the x5 n u e s to r f Can you solve each of these number puzzles. The aim is to rearrange the numbers and mathematic­al operations to give you the answer. r n , 2, 3, + d x h a l of 9 y + )x 3 = 3,4,7,+,x How can you get 49? 1, 4, 5, -, x to get 15 How can you get 15? 1, 3, 4, 10, +, -, x to get 33 How can you get 33? 2,3,6,7,-,-,x How can you get 15? in a ir f h e For example, you could use the operation to join 5 and 25 (5x5=25). Fofor yyoouuddee­leletetedd­tthhe reexxaampp­lele,,1122++3=34=w4owuoldul­bdebceocrr­oercretcif­t if 2 that it reads 1 4 sso +33=4= Ffor example, give 1,12 ,3 + a ndanx yo uyou ((1+ 2)2x 3 = 99 x5 coulld rereaacch a totaoltao f 9 by dbo ingdoing operation to join 3 x 17 + 4 = 25 12 + 23 + 34 = 48 36 + 43 + 25 = 84 +9 x2 x3 x5 12 3 4 6 9 25 13 5 All of the calculatio­ns below are missing the same number. The naumll etrhi s bcaeltcwue­laetinon1 abnedlo9 . If yoyu wewrert o w ritwertith at mnbuemr a cheoafct heos ptahc esp, alcl e ccaalclcuu­lalattioio­ns woulld giive tthe ssame answerr . Wha t s the corrrrecc tnuumbbeer­r fofor eeaacch of tthe puzzlle sbbeelolow­w?? ob f e is between 1 and 9. If ou e to s f s w are missing the same number. The number hnau t binee r in eth s, t e s h f t ii s e all the . r h a) b) c) PUZZLE 2 ____ x ____ = ? 5 x ____ + 14 = ? 30 + 25 + ____ - 13 = ? 8 x ____ - 7 = ? ____ x 9 - 14 = ? PUZZLE 1 ____ + 10 + 2 = ? 3 x ____ = ? ____ x 2 + 6 = ? 25 – 13 + ____ = ? 5 x ____ 2 + 3 = ? ÷ d) e) f) Can you put the numbers 2 to 8 in the circles so that every line adds up to 15? You can only use each number once. PUZZLE 1: 6 PUZZLE 2: 7 A 6 7 2 8 1 5 9 3 4 4 3 4 5 + 9 x 2 x 3 x 5 = 13 = 6 = 12 = 25 3 x 7 + 4 = 25 12 + 2 + 34 = 48 36 + 43 + 5 = 25 a) 55; b) 77; c) 22; d) 5; e) 12; f) 44 (3 + 4) x 7 = 49 (4 – 1) x 5 = 15 3 x 10 + (4 – 1) = 33 (7 – 2) x (6 – 3) = 15 B Puzzle sources include : www.livingmath­s.com; www.mathinengl­ish.com; www.active-maths.co.uk 8 4 1 5 9 6 7 2 3